Jason runs a bakery that sells two kinds of cookies. Jason knows the bakery must make at least 72 and at most 280 trays of the Fluffy Deliciousness. The bakery must also make between 4 and 288 trays of the White Chocolate Blizzards. The trays of Fluffy Deliciousness take 16 ounces of sugar, while trays of White Chocolate Blizzards require 7 ounces of sugar. The bakery only has 5488 ounces of sugar available. If trays of Fluffy Deliciousness generate $2.66 in income, and trays of White Chocolate Blizzards generate $1.72, how many trays of the cookies should Jason have the bakery make to get the most income?
Q: A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower has…
A: Formula:
Q: GulfOil Company (GOC) can buy two types of crude oil: light oil at $49/barrel and heavy oil…
A: Given data is
Q: The manager of the Ewing and Barnes Department Store has four employees available to assign to three…
A: a) Decision Variable assigned to different employee are X1A = Employee 1 assigned to Dept A X1B =…
Q: C-Town Brewery brews two beers: Expansion Draft and Burning River. Expansion Draft sells for $20 per…
A:
Q: The manager of the supermarket meat department finds that there are 170 kg of round steak, 290 kg of…
A: 1kg hamburger contains 450 gm of ground round and 290 gm of ground chuck. so with 180 kg ground…
Q: A small bank has $1,000,000 in new funds that must be allocated to various loan types, including…
A: Given data is Rate of return by home loans = 7% = 0.7 Rate of return by personal loans = 12% = 0.12…
Q: An oil company produces oil from two wells. Well 1 can produce up to 150,000 barrels per day, and…
A:
Q: Barrows Textile Mills produces two types of cotton cloth— denim and corduroy. Corduroy is a heavier…
A: Let, x1 be the number of yards of denim produced x2 be the number of yards of corduroy produced
Q: The Copperfield Mining Company owns two mines, which produce three grades of ore: high, medium, and…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have…
A: Let's define the variables. Formulation: x1 - No. of chairs to producex2 - No. of tables to…
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A:
Q: The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: A car dealer has warehouses in Millville and Trenton and dealerships in Camden and Atlantic City.…
A:
Q: A factory is to produce two products P1 and P2. The products require machining on two critical…
A: Given data in tabular form : P1 P2 available time Overtime profit M1 5 4 120 50 8 on…
Q: An airline needs to deliver 360 passengers and 32 tons of cargo from Manhattan to New York. It has…
A: The linear programming method is used to find out a feasible solution among the available options…
Q: Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis…
A: A transportation problem requires shipments to move directly from supply points to demand points.…
Q: Irwin Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier…
A: Let Denim = D and Corduroy = C Maximize profit = 2.25D + 3.10C subject to 5D + 7.5 C <=…
Q: Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have…
A: LET US ASSUME TABLES TO BE SOLD TO X LET US ASSUME CHAIRS TO BE SOLD TO Y
Q: Green Carpet Inc. produces and markets different products for lawn care. Two well known fertilizers…
A: Part (A): Decision Variables:Suppose-X1 be the per kg production of fertilizer U-SmileX2 be the…
Q: Set up the objective function and the constraints, but do not solve. Chemical Products makes two…
A: As mentioned in the question description, the variables are as follows. 1. x = Number of cartons of…
Q: A manufacturing firm produces three products A, B, and C, each of which need to be processed in…
A: Given- The value of x= 2 Thus available hours for - Milling department = (90+2)= 92 hours Grinding…
Q: Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12…
A: GIVEN THAT: TOTAL HOURS AVAILABLE TO WORK = 12 HRS PER WEEK PREPARATION TIME NEEDED FOR JOB 1= 2 HRS…
Q: For this linear programming problem, formulate the linear programming model. Then, find the optimal…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: Bangs Leisure Chairs produces three types of hand-crafted outdoor chairs that are popular for beach,…
A: Decision Variable : a,b, c Number of sling chairsObjective Function: Maximize the profitThus,…
Q: Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier…
A: Irwin textile has two product category and they want to maximize profit. So we need to check how…
Q: Muir Manufacturing produces two popular grades of commercial carpeting among its many other…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Weenies is a food processing plant which manufactures hot dogs and hot dog buns. They grind their…
A: A. In the above case, Weenies is a company which produces hot dogs and buns. Toproduce buns they…
Q: Susie Sockies produces 3 types of leggings: Bestie, Cutie, and Dottie. Producing Besties needs 2…
A: The right option is (E) Cannot be determined. By solving the above, we get the results that if one…
Q: The artisans at Jewelry Junction in Phoenix are preparing to make gold jewelry during the Christmas…
A: The following information is given:
Q: A California grower has a 50-acre farm on which to plant strawberries and tomatoes. The grower has…
A: a. Let strawberry X1 and Tomatoes = X2 Maximize profit = 400 X1 + 300 X2 subject to 10…
Q: Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis…
A: Linear programming, often known as linear optimization, is a method for obtaining the best result…
Q: The Munchies Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats…
A: Given data, Requirements for each box 48 milligrams - Vitamin A 12 milligrams - Vitamin B Oats…
Q: The Electrotech Corporation manufactures two industrial-sized electrical devices: generators and…
A: Given data is Profit of generator = $275 Profit of alternator = $190 Wiring hours for generator = 3…
Q: The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main…
A: Linear programming problem is a problem which helps in reducing cost and increasing profits with the…
Q: se Linear Programming. 2. In a grocery store, shelf space is limited and must be used effectively to…
A: Below is the solution:-
Q: The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main…
A: Given information, Flour = 25 Sugar = 16 pounds Demand for coffee cake = 5 Flour - 5 Sugar - 2…
Q: Irwin Textile Mills produces two types of cotton clothdenim and corduroy. Corduroy is a heavier…
A: Profit maximization is the only objective of every firm, whether it is short term or long term goal.…
Q: Charlie is producing two types of chocolate at his factory. His White Chocolates have 20% cocoa…
A: The formulation of the linear programming problem is shown below. Let x and y be the production…
Q: Ice cream entrepreneurs Tess and Coy produce two types of dairy ice cream products: Chocolate…
A: Objective function: Max Z=250C+350V Subject to constraints: 1.) 6M+9P≤3602.) 8M+5P≤400M,P≥0
Q: A food wholesaler has three kinds of individual bags of potato chips: regular, barbeque, and salt…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Weenies is a food processing plant which manufactures hot dogs and hot dog buns. They grind their…
A: Hot dogs Hot dog buns Sign Available Flour (pound/ unit) 0.1 <= 200 Pork…
Q: 1.How many corner points are there in this LP problem? a. 2 b. 3 c. 4 d.5 e.6 2. Which of…
A: Below is the solution:-
Q: Bark's Pet Food Company produces canned cat food called Meow Chow and canned dog food called Bow…
A: Linear programming problem is formulated to calculate the quantity required for each category and…
Q: Green Grass Manufacturing produces two popular grades of commercial synthetic grass among its many…
A: Formula:
Q: Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier…
A: Formulate the Problem The given data is be summarized in following table
Q: An electronics discount chain has a sale on a certain brand of 60-in. high-definition television…
A: Let x1 be the number of TV sets to be shipped from the warehouse of long Beach to Santa Monica. x2…
Q: The owner of Crackers, Inc. produces both Deluxe (D) and Classic (C) crackers. She only has 4,800…
A: Introduction:The given problem is solved using linear programming. The given problem is formulated…
Q: The head of a management information center wants to staff consulting stations with two shifting…
A: Given Information - Team A = 3 senior programmers and 3 system analysts = 4 hours shift Team B = 2…
Q: The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three…
A:
Step by step
Solved in 2 steps with 4 images
- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…
- At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i B 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a shortest-path problem by drawing a…A mixture of pellets is to be made containing x regular pellets, y large pellets and z extra large pellets. Cost, weight and volume data for each type of pellet are shown in the table. Is it possible to make mixture of 55 pellets at a cost of $0.85 if the mixture is to have 120 weight units and 130 volume units? If so, how many each type of pellet should be in the mixture? Pellet Type 5. Number of Cost per Pellet in Cents Weight Units per Pellet Volume Pellets Units per Pellet Regular Large Extra large 2 1 4 y 1 4 3A manufacturing cell makes three models of a product – AKC1011, BC0001, and AC0102. The daily demand for the three products are as follows: 200 of AKC1011, 500 BC0001, and 300 of AC0102. Develop a balanced mixed-model sequence that should be repeated throughout the day in order to meet demand.
- A manufacturer has a production facility that requires 10,237 units of component JY21 per year. Following a long-term contract, the manufacturer purchases component JY21 from a supplier with a lead time of 6 days. The unit purchase cost is $31.4 per unit. The cost to place and process an order from the supplier is $168 per order. The unit inventory carrying cost per year is 12.2 percent of the unit purchase cost. The manufacturer operates 250 days a year. Assume EOQ model is appropriate. If the manufacturer uses a constant order quantity of 1,053 units per order, what is the annual holding cost? Use at least 4 decimal places.Tom is a habitual shopper at garage sales. Last Saturday he stopped at one where there were several types of used building materials for sale. At the low prices being asked, Tom knew that he could resell the items in another town for a substantial gain. Four things stood in his way: he could only make one round trip to resell the goods; his pickup truck bed would hold only 1200 pounds; the pickup truck bed could hold at most 80 cubic feet of merchandise; and he had only $190 cash with him. He wants to load his truck with the mix of materials that will yield the greatest profit when he resells them. Formulate (define objective function and constraints) and solve this problem (using excel solver) as a linear program.In an oil company, its south refinery produces per day 300 barrels of high grade oil, 200 barrels of medium grade oil and 150 barrels of low grade oil. The cost of operation of this refinery amounts to P 600,000 per day. The north refinery of the company produces each day 100 barrels of high grade oil and 100 barrels of medium-grade oil and 150 of low-grade oil. Which has a total of P500,000 operational costs. If the company’s production requirement is at least 900 barrels for high-grade oil, 800 barrels for medium-grade oil, and 750 for low-grade oil, how many days, are required for each refinery to operate to obtain the minimum cost?
- Plainwell Polymers is going to producing the main dashboard structure for a new car design. The dashboard will be produced in three colors with expected daily demand as follows: Black: 365 units/day Grey: 110 units/day Tan: 210 units/day The injection-molding machine can produce a total of 1,090 parts per day running 24 hours per day. It costs Plainwell $1,040 to set up each color for producition and the daily holding cost for each part is $0.49. What is the length of the lowest cost cyclic schedule (ignoring setup time constraints) in days?The interContinental Hotel at Tsim Sha Tsui has 100 total rooms available for Dec 31. There are two types of customers, business customers and leisure customers. InterContinental charges a high rate of $300/night and a low rate of $120/night. High-rate guests do not need pre-booking and has time flexibilities; low-rate guests need pre-booking. Assume business customers always take the high rate option and leisure customers always take the low rate option. Leisure customers always book far earlier before business customers and there are sufficient leisure customers. Which of the following actions would increase the optimal protection level for business customers? Increase both the high and low rates by a factor of two Decrease the high rate from $300 to $200 Decrease both the high and low rates by half O Decrease both the high and low rates by $20 O Increase both the high and low rates by $20The Delta company uses three raw materials to make cakes. Delta is trying to reduce warehousing costs and establishes three policies to that end: i) The annual number of orders for all products must be at least 20 per contractual terms with transportation providers. ii) The average inventory in units must be a maximum of 1800. iii) Because the raw material is perishable, there can never be more than 2000 units in inventory of raw material 1. Raw material 2 has a maximum allowed of 1200 units and the raw material 3 can store maximum 400 units. The following table shows the product information: Materia Demanda Costos por unidad Costo por prima (u/año) ordenar ($) 2200 2 300 2 500 4 650 3 3000 10 100 Consider an interest rate of 10% per year. A) Formulate the problem as a mathematical programming model that minimizes the total annual cost. b) Represent the problem in a single equation including the constraints in terms of lambda c) Find the optimized batch sizes for the company's raw…