If each machines can be used 24 hours a day, and the profits on the Vista and Xtreme models are $50 and $80, respectively, how many of each type of player should be made per day to obtain maximum profit? What is the maximum profit? Make sure to label the variables using a complete sentence, write the system of inequalities and objective function, graph the feasible region, determine the corner points, plug in all of the corner points into the objective function, and write your answer as a complete sentence.
Q: 1. Explain your observations about the optimal solution returned by the Solver. 2. If the company…
A: Objective function: Now, each of the decision variables represents the shipping volume, and we are…
Q: The minimum-cost flow problem could be applied_________ Option- 1. by a telephone company attempting…
A: "Since you have asked multiple questions we will solve the first question for you. If you want any…
Q: An electronics firm is currently manufacturing an item that has a variable cost of $0.50 per unit…
A: In the given question first we will calculate the profit under Present conditions and then after…
Q: What is the maximum number of meals Sheldon can produce in 12 hours? What is the maximum number of…
A: As it is not in Bartleby policy to Answer More than 1 Question, I am solving the First Question For…
Q: Identify if the given linear programming problem is a standard maximization problem. If it is a…
A: In real business, the resources are limited. Hence, organizations need to make decisions by…
Q: A local real estate investor in Orlando is considering three alternative investments: a motel, a…
A: Note: - Since we can answer only up to three subparts we will answer the first three subparts (a, b,…
Q: Set up and solve the following simple linear optimization model: MAX: 23.0 x + 16.9 y subject to: 3x…
A: Given that - MAX: 23.0x + 16.9y Subject to 3x + 4y ≥ 20 4x ≥ 10 5x + 1y ≤ 71 xy ≥ 0
Q: What is Optimization? How many methods are there to calculate it? Explain this?
A: Hello thank you for the question. As per guidelines, we would provide only one answer at a time.…
Q: subject to X - 2x, + x, 2 20 2x, + 4.x2 + X3 = 50 and X, 2 0, X2 2 0, X3 2 0. (a) Using the Big M…
A: according to u answering A given,
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Here, It is LP problem that I need to solve, It is part of Operations Management LP problem is as…
Q: Consider a small Oil production firm with 5 competing oil production projects, A - E. The table…
A: Given data, Production Project A B C D E Estimated Profit 25 20 19 28 21 Capital…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Here, It is part of Operations Management question, LP problem is as stated below: MAXIMIZE: Z = 14…
Q: A Manager has the problem of assigning four new machines to three production facilities. The…
A: The number of rows = 4 and columns = 3
Q: State the dual of the following and solve the same by the simplex method: Maximize Z = 4x + 2x₂…
A: The development of a primal-dual algorithm thus optimizes a dual program while improving primal…
Q: A firm has prepared the following binary integer program to evaluate a number of potentia goal is to…
A:
Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…
A: Letx4 = the amount of 4-cylinder connecting rods produced next week. x6 = the amount of 6-cylinder…
Q: A firm offers three different prices on its products, depending upon the quantity purchased. Since…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: SUPPOSE THAT THE OPPORTUNITY COST OF A MINIMIZATION ASSIGNMENT PROBLEM BECOMES II IV A. 4 3 10 B 4 2…
A:
Q: During the next production period, The Diego Garcia Furniture Company is considering producing…
A: As per the sensitivity report, the allowable decrease for objective coefficient (Profit) for…
Q: 3. Maximize: z = 11x1 + 16x2 + 15x3 subject to the following constraints X1 + 2x2 + r3 0
A: Decision Variable: x1, x2, and x3 are the decision variables. Objective function: Max Z = 11x1 +…
Q: facilities for drone production. The table below shows the potential profits/losses for each…
A: Ans15(18) Decision under equally likely rule--- States of nature Excellent Good Fair Poor Average…
Q: For this problem clearly derive the Linear program -Graph this problem and clearly indicate the…
A: There is some issue with the pounds available of limestone. 1000 can not be the number if rough…
Q: 1. In a transportation problem with 4 sources and 5 destinations, how many shipping lanes will…
A: Hence, the number of shipping lanes are 20.
Q: A firm offers three different prices on its products, depending upon the quantity purchased. Since…
A: Let; x11=Units produced of Product 1 with a profit of $16 x12=Units produced of Product 1 with a…
Q: Select the best statement if we consider the following situation: The right-hand side of a…
A: Given - Shadow price = 1.2 Allowable increase = 15 Allowable decrease =10Constraint R.H.S = 30
Q: A Canadian airline is considering purchasing a new aircraft. The maximum cabinet area that can be…
A: Let x, y, and z be the number of seats of first-class, premium economy, and economy respectively.…
Q: Based on the following sensitivity analysis, which of the following products would be considered…
A: Using the sensitivity report:
Q: Maximize C = 13x + 3y subject to 12x + 14y ≤ 21 15x + 20y ≤ 37 and x ≥ 0, y ≥ 0. What is the…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)…
A: Find the Given details below: Objective Function: Max C = 5 x + 11 y…
Q: A Garment Company manufactures blue jeans. Three designs are considered: A, B, and C. The…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: A firm offers three different prices on Its products, depending upon the quantity purchased. Since…
A: Objective Functions and Constraints: Based on the given details, we found the…
Q: ABC company wants to open one, two, or three shops. The average Profit varies with the demand in…
A: Given Information:
Q: Rand Enterprises is considering a number of investment possibilities. Specifically, each investment…
A: Formulas Model:
Q: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in…
A:
Q: Note: This problem requires the use of a linear programming application such as Solver or Analytic…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: A manufacturer makes two products ,laptops bags and briefcases. Each must be processed through two…
A: Let us assume that L laptop bags and B briefcases are manufactured. These form the decision…
Q: Max 30x1 x2 s.t. 2x1 x2 ≤ 4 2x1 2x2 ≤ 6 x1, x2 ≥ 0 (a) Solve graphically and state the optimal…
A: Note: - Since we can answer only up to three subparts, we will answer the first three subparts…
Q: What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $3.8 ?
A: Since X3 is not one of the basis variable in the solution, changing the coefficient from 6 to 3.8…
Q: Solve these problems using graphical linear programming and answer the questions that follow.…
A: Linear programming is used for finding optimal solution under various constraints with the final…
Q: Find the maximum and minimum values of the objective function p = 5x – 6y under the constraints y –…
A:
Q: Use the simplex method to solve the linear programming problem. z= 8x1 - 7x2 + 2x3 X2 + 8x3 < 48 4x1…
A:
Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…
A:
Q: Note: This problem requires the use of a linear programming application such as Solver or Analytic…
A: Maximize 1000x1 + 120x2 + 90x3 + 135x4 Subject to: 150x1+200x2+225x3+175x4 ≤ 15 Constraint 1…
Q: Find the values of x1 and x2 where the following two constraints intersect. (Negative values should…
A: The detailed solution of the given question is in Step 2
Q: Formulate a system of equations for the situation below and solve. Cantwell Associates, a real…
A: Let x be the one-bedroom units y be the two-bedroom townhouses z be the three-bedroom townhouses…
Q: A car rental agency has a budget of $1.96 million to purchase at most 110 new cars. The agency will…
A: Solution Let X1 be the number of subcompact cars to be purchased and X2 be the number of mid-sized…
Q: A toy company makes stuffed animals. Their biggest sellers are their bunny (b) and dog (d)…
A: Objective Functions and Constraints: Based on the given details, the objective…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- 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.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
- 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…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…3. The ore of a gold mine in the province contains, on average, 0.5 ounce of gold per ton. Method A ofprocessing costs 150Php/ton and recovers 93% of the gold, while Method B costs only 120Php/tonand recovers 81% of the gold. If gold can be sold at 1,200/ounce, which method is better and by howmuch?a. Method A, by 43Phpb. Method A, by 42Phpc. Method B, by 42Phpd. Method B, by 43Php e. None of the above
- Kofi Abebrese runs a small industrial company that specialize in the production of high standard windows for housing estates. A worker is paid GHC0.9 per hour and can produce two window with an hour. Each window uses a frame costing GHC1 and incur a variable overheads of GHC0.7. Each window sells for GH¢3. Currently, due to the economic condition, work is rather slack and three employees are occupied in carrying out extensive repairs to Kofi Abebrese's own house. Kofi owns a warehouse next to the factory, which had been used as a factory store, in the past. It is now let out on a renewable annual lease of GHC600. A new building company, Allied Consult, which specializes in the production of prefabricated houses has asked Kofi if he would be interested in accepting a contract for GHC30,000 which will be for a year initially, to produced molded internal building sections. Kofi estimates that, the contract will take 13,200 hours of works, or the work of five men for a year, and that…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.A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.
- 4) The making of rivet holes in structural steel members can be done by 2 methods. The first method consists of laying out the position of the holes in the members and using a drill press costing P100k. The machinist is paid P60 per hour and he can drill 80 holes per hour. The second method makes use of a multiple-punch machine costing P80k. The punch operator is paid P40 an hour and he can punch out 1 hole for 3 seconds. This method also requires an expense of P1.25 per hole to set the machine. (a) if all other costs are assumed equal, what is the total cost for each machine for 10k holes, assuming the total cost of each machine to be charged to these holes? (b) for how many holes will the costs be equal?You are asked to help your boss deciding who is considering whether to make or buy a part fora top most demanding product of the company.Your company can make the component for $40 per unit or buy it for $50 per unit from vendor.If the Company decides to make the component, it will require 4 hours of machine time tomake each part. The company has 2,000 hours of machine time available per month. Shouldthe company make or buy the component? How many max parts company can make?________________________________________________________________During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.