9 Your boss asks you to purchase b; units of product i for each i in a set P of products. (These products are all divisible, i.e. they can be obtained in fractional amounts.) Of course, your boss wants you to spend as little money as possible. You call up all the stores in a set S of stores, and store j gives you a per-unit price c¡¡ for product i for all i, j. Cij (a) You decide to just order all b; units of product i from the store that gives the cheapest per-unit price for each i. Show that this is optimal. (b) Actually, there is another constraint. Your boss forgot to tell you that he does not want you to buy from too many different stores - he wants you to keep the number of stores from which you buy to at most (integer) k. Modify your formulation in (a), the resulting formulation should be an IP.

9 Your boss asks you to purchase b; units of product i for each i in a set P of products. (These products are all divisible, i.e. they can be obtained in fractional amounts.) Of course, your boss wants you to spend as little money as possible. You call up all the stores in a set S of stores, and store j gives you a per-unit price c¡¡ for product i for all i, j. Cij (a) You decide to just order all b; units of product i from the store that gives the cheapest per-unit price for each i. Show that this is optimal. (b) Actually, there is another constraint. Your boss forgot to tell you that he does not want you to buy from too many different stores - he wants you to keep the number of stores from which you buy to at most (integer) k. Modify your formulation in (a), the resulting formulation should be an IP.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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is generally determined by the consumer rather than by the producer. In other words, if a customer perceives that he receives more in benefits than what he has to pay for those benefits (or, he gets more in benefits than what he perceives it costs him to acquire those benefits), then he is probably going to be fairly happy with that product in relation to itsS cost.
. A book that sounds just perfect for me, Kate Raworth’s Doughnut Economics is available on Amazon for $40.35 for the hardback and $15.99 for paperback. From the publisher’s perspective, the difference in the cost between each version of the book seems negligible; it may cost a little bit more to produce the hard cover, but certainly not more than 2.5 times as much. Hardback versions usually also get published a few months before paperback versions are published. How do you explain the different prices for essentially the same product, given that the cost to the publisher of providing each type of book is basically the same? Amazon also offers the Kindle digital e-book version for $11.87. The cost to Amazon to produce a new “copy” for the next consumer is virtually nothing; just the sending of some data to the customer’s device. Why is Amazon able to charge $11.87 when its cost is basically zero and the market for books is likely very competitive? Note:- Do not provide handwritten…
Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 208 grams of protein and at least 142 grams of fat. If chicken costs 10c per ounce and grain costs 1e per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize costs? (chicken, grain) = What are the shadow costs of protein and fat? ¢ per g e per g protein fat
Given the following
The manager of the donut shop tells you that hesells donuts for $1 each, and that if he were to makeadditional donuts, based on his current level ofoutput, it would cost him $0.80 per donut. Do yourecommend that the manager increase or decreasethe number of donuts he makes?
Spark Studio produces commercials for other companis. A 2-minute commercial, for example, needs exactly 5 minutes of filming and 8 minutes of editing. Let x1 denote the minutes of filming and x2 denote the minutes of editing. a) Suppose that filming costs $45 per minute and editing costs $10 per minute. To produce a 5-miunte commercial, how many minutes of filming and how many minutes of editing Does Spark studio need to minimize cost? How much is this cost? Draw a graph of the isoquant and isocost line to show this optimal bundle. b) Rocket Media, another commercial production company, uses a different technology. The length of commercials it produces is equal to the longer of the two: one-third of the length of filming and one-fourth of the length of editing. When w1 = 15 and w2 = 10, derive Rocket Media's cost function c(y).
Only typed answer and don't use chat gpt and please answer correctly Suppose that you can sell as much of a product (in integer units) as you like at $61 per unit. Your marginal cost (MC) for producing the qth unit is given by: MC=9q This means that each unit costs more to produce than the previous one (e.g., the first unit costs 9*1, the second unit (by itself) costs 9*2, etc.). If fixed costs are $50, what is the optimal output level? Please specify your answer as an integer. Also, assume that a competitive firm has the total cost function: TC = 1q3 - 40q2 + 710q + 1700 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Using tables (but not calculus) to find a solution, what is the total profit at the optimal output level? Please specify your answer as an integer.
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Task 3 Pick one of your items. You have been contacted by a customer in Alaska who wants to purchase several of these items and wants you to ship the items to her. You have already established the cost per item and you will only charge the customer $5 to ship these items to Alaska. Suppose another company sells the same item but charges half of your price. However, if the customer buys from this company, she will be charged $20 in shipping costs. a. Write two equations to represent the customer's total cost based on how many items she buys from each of the two sellers-you and the other company. b. If the customer in Alaska wants to buy 5 items, from whom should she buy? Explain your answer. c. If the customer in Alaska wants to buy 50 items, from whom should she buy? Explain your answer. d. Solve the system of equations from part A. What method did you choose to solve the system? Why? e. Explain what your solution for part D means in terms of the situation.
Please assist with the last question. Thank you.
Fig 2.1 illustrates the law of diminishing returns in seeking the optimum system (or component) performance and hence the need to balance the performance against the cost. Give examples of two pairs of characteristics other than performance versus cost where optimizing one frequently competes with the other, and briefly explain why they do.