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- The AVC and the AC curve can intersects each other at any point True/FalseA retail store in Makkah, receives shipments of a particular product from Jeddah and Taif. Let X be units of product received from Jeddah and Y be units of product received from Taif.a. Write an expression for the total units of product received by the retail store in Makkah. b. Shipments from Jeddah cost $0.20 per unit, and shipments from Taif cost $0.25 per unit. Develop an objective function representing the total cost of shipments to Makkah.c. Assuming the monthly demand at the retail store is 5000 units, develop a constraint that requires 5000 units to be shipped to Makkah. d. No more than 4000 units can be shipped from Jeddah and no more than 3000 units can be shipped from Taif in a month. Develop constraints to model this situation.e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at the Makkah retail store at minimum cost.b.A clothing manufacturer makes trousers, skirts and blouses. Each trouser requires 20 minutes of cutting time, 60 minutes of sewing time and 5 minutes of packaging time. Each skirt requires 15 minutes of cutting time, 30 minutes of sewing time and 12 minutes of packaging time. Each blouse requires 10 minutes of cutting time, 24 minutes of sewing time and 6 minutes of packaging time. The amount of time available for cutting, sewing and packaging is 115 hours, 280 hours and 65 hours respectively. Using either the Inverse Method or the Cramer’s Rule, determine how many of each type of clothing should be made to use all available labor hours?
- MNLogs harvested logs (with no inputs from other companies) from their property in northern Minnesota. They sold these logs to MNLumber for $1,000 and MNLumber cut and planed the logs into lumber. MNLumber then sold the lumber for $2,500to MNFurniture. MNFurniture used the lumber to produce 100 tables that they sold to customers for $60 each.Instructions: Enter your responses as whole numbers.a. Complete the table below to calculate the value added by each firm. Company Revenues Cost of purchased inputs Value added MNLogs $ $ $ MNLumber $ $ $ MNFurniture $ $ $ b.Suppose that all of these transactions took place in 2016. By how much did GDP increase because of these transactions?$ c.Suppose that MNLogs harvested the logs in October 2016 and sold them to MNLumber in December 2016. MNLumber then sold the finished lumber to MNFurniture in April 2017 and MNFurniture sold all 100 tables during the rest of 2017. By how much did GDP increase in 2016 and 2017 because of…Graph AFC, AVC, ATC, and MC. Explain the derivation and shape of each of these four curves and their relationships to one another. Specifically, explain in nontechnical terms why the MC curve intersects both the AVC and the ATC curves at their minimum points.After Joyce and Larry purchased their first house, they made additional home improvements in response to increases in income. After a while, their income rose so much that they could afford a larger home. Once they realized they would be moving, they reduced the amount of home improvements. Their Engel curve for home improvements on their current home is: flat. thin downward sloping curves that never cross. Thick. backward bending. positively sloped.
- Suppose the relationship between your study time and your grade on a History midterm is given by the following table:If you study for Your grade will be4 hours 805 hours 906 hours 93What is the "marginal grade improvement (MGI)" of the 5th hour of studying? What is the "marginal grade improvement (MGI)" of the 6th hour of studying? Why might the MGI be diminishing?Maximize and minimize functions 3.The owner of a soda factory knows that his profit in thousands of dollars per week, as a function of the number x of cases of soda sold, is given by the equation ? = ―0.022 + 9x ― 1196.a.How many boxes must be sold weekly for maximum profit?b. What is the maximum profit?4. For a certain company, the monthly profits obtained by investing x dollars a month in advertising are given by. How much should ? = ―0.102 + 500x ―26,700 spend in advertising to maximize their profits?5. The effectiveness of a television commercial depends on how many times a person watches it. After some experiments, an advertising agency found that if E effectiveness is measured on a scale of 0 to 10, E(p)=3/5p ―1/70p2 then where p is the number of times a person sees a given commercial. For an ad to be most effective, how many times must a person see it?You are working to model your production function and you are interested in the equation of the line tangent to the production function at a specific level of production. You know that the equation of the tangent line will be first derivative of the production function. Given this information, Previously, a consultant had estimated that your production function could be estimated as f(x) = -1,000 + 26 hours - 0.2 hours^2 Given that you firm is planning to use 97 hours in the production process, what is the value of the equation of the tangent line at 97?
- QUESTION Given TC = 100 + 60Q – 12Q2 + Q3 find: (a) The equations of the TVC, AVC, and MC functions. (b) The level of output at which AVC and MC are minimum, and prove that the AVC and MC curves are U-shaped. (c) Find the AVC and MC for the level of output at which the AVC curve is minimumWhat equation shows the relationship of MC to AVC when AVC is rising?A company produces commercials. 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) Write down the production function and state whether it has increasing, constant, or decreasing returns to scale b) Suppose that filming costs $45 per minute and editing costs $10 per minute. To produce a 5-minute commercial, how many minutes of filming and how many minutes of editing is needed to minimize cost? c) Suppose that filming costs w1 per minute and editing costs w2 per minute. Let y denote the length (in minutes) of commericals produced. derive the conditional factor demand functions x1(w1,w2,y) and x2(w1,w2,y) and its cost function c(w1,w2,y)