Leach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $6; a class K container, a profitof $10; and a class T container, a profit of $8. Each shipment prepared requires a certain amount of packing material and a certain amount of time.Formulate and solve this problem using LP software.Decision variables:X, = number of class A containers to be usedX2= number of class K containers to be usedX3= number of class T containers to be usedResources Needed per Standard ShipmentPacking Material(pounds)Packing Time(hours)Class of ContainerA22K1T34Total amount of resourceavailable per week180 pounds240 hoursHugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all240 hours (6 workers x 40 hours) each week.Objective function:Maximize Z =Subject to:(packing material)(packing time)Xq, X2, Xg 20

The question is related to the Linear programming. The question is of maximization of Linear…

Answered: Leach Distributors packages and…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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As part of a campaign to promote its annual clearance sale, Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's television advertising budget is $111,000. Morning time costs $3000/min, afternoon time costs $1000/min, and evening (prime) time costs $12,000/min. Because of previous commitments, KAOS cannot offer Excelsior more than 6 min of prime time or more than a total of 25 min of advertising time over the 2 weeks in which the commercials are to be run. KAOS estimates that morning commercials are seen by 200,000 people, afternoon commercials are seen by 100,000 people, and evening commercials are seen by 600,000 people. How much morning, afternoon, and evening advertising time should Excelsior buy to maximize exposure of its commercials? morning min afternoon min evening min
Consider the simple von-Thunen model of agricultural land use developed in class. This question asks you to analyze the land use of carrot farmers who use a fixed proportion production technology. Assume the following: -- carrot yield (E) is 20 tons per acre -- carrots sell at $15 per ton (P) at the market -- non-land input costs (I) are $60 per acre -- transport cost (t) is $4 per ton per mile -- farmers pay the transport cost of moving carrots d miles to the market a. Derive the bid-rent curve per acre of land for carrot farmers by imposing the appropriate long-run equilibrium condition. Explain the condition. Show all steps. b. Plot the bid-rent curve for carrot farmers. Then calculate the land area where carrots are grown. c. How much will the landlord charge to rent 1 acre at the city? at d=1 mile? at d = 5 miles? Show computations. d. Where does Farmer Jones prefer to locate? Why
A company makes three types of candy and packages them in three assortments. Assortment I contains 4 cherry, 4 lemon, and 12 lime candies, and sells for a profit of $4.00. Assortment Il contains 12 cherry, 4 lemon, and 4 lime candies, and sells for a profit of $3.00. Assortment III contains 8 cherry, 8 lemon, and 8 lime candies, and sells for a profit of $5.00. They can make 5,200 cherry, 4,000 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit (assuming that all boxes produced can be sold)? What is the maximum profit? Select the correct choice below and fill in any answer boxes within your choice. OA. The maximum profit is $ when boxes of assortment 1. boxes of assortment II and assortment III are produced. OB. There is no way for the company to maximize its profit boxes of
For the remaining questions, consider the following problem description: An oil company is considering exploring new well sites S₁, S2, ..., S10 with respective costs C1, C2, C10. And in particular they want to find the least-cost selection of 5 out of the 10 possible sites. The binary decision variables x₁,x2,..., X10 denote the decision to explore the corresponding site.
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 700 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,200 units of shelf space for the texts. If the used book program makes a profit of $20 on each calculus text, $8 on each history text, and $16 on each marketing text, how many of each type of text should you purchase to maximize profit?
Two firms, A and B, each currently dump 168 tons of chemicals into the local river. The government has decided to reduce the pollution and from now on will require a pollution permit for each ton of pollution dumped into the river. The government gives each firm 90 pollution permits. The abatement costs of one ton of pulltion is $122 for Firm A and $147 for Firm B. What would be the total cost of reducing pollution, if the government does NOT allow the firm to trade the permits between each other?
Martin owns an older home, which requires minor renovations. However, the neighborhood where Martin lives mostly includes newly constructed luxury homes. Why might Martin's home increase in value? Based on the principle of substitution, the value of Martin's house will equal the value of the newly constructed homes in the neighborhood. ○ The value of Martin's home will decrease due to the new competition in the neighborhood. Based on the principle of regression, the newly constructed homes in the neighborhood will increase the home values of the entire neighborhood. Based on the principle of progression, the newly constructed homes in the neighborhood will increase the home values of the entire neighborhood.
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