Answered: Maximize Z = 5x1 + 8x2, Subject to 3x1… | bartleby

Algebra and Trigonometry (6th Edition)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Maximize Z = 5x₁ + 8x₂,

Subject to 3x₁+ 5x₂ = 18

5x₁ + 3x₂ = 14

x₁, x₂ 0

A company is considering the feasibility of changing suppliers for coupling hardware. Presently, the company has an optimal purchasing policy with Ace Hardware at a discount of 1%. Current yearly purchases are $81,000 and the Administrative Charges are $125 per purchase and the carrying charges are 25% of the average inventory level.

Bids received from other suppliers are: Nutz Co. offers 5% discount if ordered twice a year and Grabbers Co. offers 3% discount if ordered four times a year. Should the company retain the present supplier or accept the proposed offers and, if so, which offer?

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A real estate company, Peterson & Johnson, discusses five potential development projects.The following table shows the estimated long-term earnings (net present value) that each project would generate and the investment required to undertake it, in millions of dollars.Company owners Dave Peterson and Ron Johnson raised $20 million in investment capital for these projects. They want to choose the mix of projects that maximizesthe total estimated long-term profit (net present value) without investing more than $20 million. a) Formulate a PEB model for this problem.
Firms Alpha and Beta serve the same market. They have constant average costs of $2 per unit. The firms can choose either a high price ($10) or a low price ($5) for their output. When both firms set a high price, total demand is 10,000 units which is split evenly between the two firms. When both set a low price, total demand is 18,000, which is again split evenly. If one firm sets a low price and the second a high price, the low priced firm sells 15,000 units, the high priced firm only 2,000 units. Analyze the pricing decisions of the two firms as a non-cooperative game. Derive the dominant strategy equilibrium of this game. Explain why this is an example of the prisoners’ dilemma game.
Refer to the production possibilities curves for Chairland and Tableland. Chairland can produce 36 chairs per day and no tables, or 18 tables table per day and no chairs. Tableland can produce 40 chairs per day and no tables, or 40 tables per day and no chairs. If the two countries split the difference between the buyer's willingness to pay for tables and the seller's willingness to accept, in terms of the number of chairs for 1 table, the terms of trade will be . (Enter your response rounded to one decimal place.) Country Quantity per day Opportunity cost of chairs Opportuity cost of tables Tableland 40 chairs, 40 tables 1 table 1 chair Chairland 36 chairs, 18 tables 1/2 table 2 chairs

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