Find the minimum and maximum values of z= 4x + 3y, if possible, for the following set of constraints.x+y≤9-x+y≤52x-y≤ 14Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The minimum value is(Round to the nearest tenth as needed.)B. There is no minimum value.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The maximum value is(Round to the nearest tenth as needed.)B. There is no maximum value.

Linear programming (LP) is a mathematical optimization technique that helps solve problems where an…

Answered: Select the correct choice below and, if…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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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.
Please explain the answer with explanation asap: a) Which OR problem is this? b) Decision variable? c) Objective and objective function? d) Constraints?
Jody of Jody’s Custom Tailoring is considering expanding her growing business. The question is whether to expand with a bigger facility than she needs or with a small facility, knowing that she will have to reconsider expanding in three years. Jody has estimated the following chances for demand: The likelihood of demand being high is 0.50. The likelihood of demand being low is 0.50. She has also estimated profits for each alternative: Large expansion has an estimated profitability of either $200,000 or $100,000, depending on whether demand turns out to be high or low. Small expansion has a profitability of $80,000, assuming that demand is low. Small expansion with an occurrence of high demand would require considering whether to expand further. If the business expands at that point, the profitability is expected to be $120,000. If it does not expand further, the profitability is expected to be $70,000. Draw a decision tree and solve it. What should Jody’s Custom Tailoring do?
h. If the amount of pine bark available decreased by 15 pounds, machine time decreased by 27 minutes, and storage capacity increased by five bags, would this fall in the range of feasibility for multiple changes? If so, what would the value of the objective function be?
2. Maximize subject to p = x + 2y X +3y24 2x + y 18 x ≥ 0, y ≥ 0.
Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1 & 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?
Multiple Choice: If the bakery had to produce at least one chocolate cake for every four apple pies, which of the following constraints represents better such a condition? Here: C is chocolate cakes, and A is apple pies. C+A <= 4 C+A >= 4 4C >= A None C >= 4A
There are 3 different fire alarm systems in the store. System A detects fire with a probabilityof 0.6 and costs $40, the B detects fire with a probability of 0.91 and costs $100, the Cdetects fire with a probability of 0.8 and costs $60. Which option is better: to set one systemB or two systems A and C?
A goldsmith makes two types of jewelry. A model A ring is made with 1 g of gold and 1.5 g of silver and sells for 25 UM.Another model B ring sells for 30 UM and is made of 1.5 g of gold and 1 g of silver. If you only have 750 gof each metal, how many rings should be made of each type to obtain maximum profit?Requested:- Make Initial Table of the problem.- Obtain the Case Variables- Obtain the Objective Function- Get Restrictions- Create the Simplex Table- Obtain the Optimal Solution and the Slack Variables.Solve this operational research exercise.
Define the decision variables ,Formulate the objective function, Formulate the constraints Sears Investment has $250,000 available to invest in a 12-month commitment. The money can be placed in Treasury notes yielding an 8% return or in municipal bonds at an average rate of return of 9%. Bank regulations require diversification to the extent that a t least 50% of the investment be placed in Treasury notes. Because of defaults in such municipalities as California and Texas, it is decided that no more than 40% of the investment be placed in bonds. How much should Sears Investment invest in each security so as to maximize its return on investment?
The subject property has a pool valued at $30,000 and two bathrooms valued at $10,000 each. Comp 1 does not have a pool and has one less bathroom than the subject property. What adjustments should be made to Comp 1's value? subtract $40,000 from Comp 1's value add $40,000 to Comp 1's value add $20,000 to Comp 1's value subtract $20,000 from Comp 1's value
An electronics firm is currently manufacturing an item that has a variable cost of $0.50 per unit and a selling price of $1.10 per unit. Fixed costs are $15,000. Current volume is 30,000 units. The firm can substantially improve the product quality by adding a new piece of equipment at an additional fixed cost of $5,600. Variable cost would increase to $0.65 and the selling price would be revised to $1.30 with the expectation that the volume would be 50,000 units as a result of a higher-quality product. If the firm does not add new equipment, its profit will be =_____ dollars (round your response to the nearest whole number and include a minus sign if the profit is negative).

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