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- The Nike accounting firm analyzes the price-demand relationship toconclude that x thousand shoes will sell if offered for a unit price (in dollars) of p(x) = 130−0.1x. Suppose further that the total cost of production was tracked to be $530,000 up until production of the first thousand shoes, and that this cost increased linearly to $560,000 by the time of production ofthe 2000th shoe. Find the following quantities, and interpret your results(describe what these quantities represent). a) Marginal revenue when x= 100 b) Average profit when x= 5005. An entrepreneur has costs for storing and shipping materials for his manufacturing process given by the function C (k) = 100 (100 + 9k + 144 / k) when 1 ≤ k ≤ 100, where C (k) is the cost total storage and transportation for 100 days of operation. If a load of k tons of material moves every k days, for what values of k does C (k) have a minimum value?Q#3: XYZ construction are manufactures of slabs and are the major suppliers for orange train in Lahore. XYZ is manufacturing two types of slabs. The cost for these two types of slabs are $175 and $225, respectively. XYZ current production capacity is 200 slabs (both types). Because of the urgency of the need, government of the Punjab would pay the manufacture a bonus of $50,000 plus an additional $25 for each of the unit greater than 200. Determine the function which determine the sales of the number of slabs provided of each type by XYZ construction. What is the expected profit if XYZ is manufacturing 150 slabs of type 1, and 250 slabs of type IL
- Suppose the outputs of beauty shops and pet-grooming salons are complementary, providing one-stop shopping for personal and pet maintenance. Betty Beehive is thinking about moving her beauty shop from an isolated location to a vacant building next to Peter’s pet grooming shop.In making her decision, she makes the following assumptions: If Betty moves, she will keep all her current customers (20 people per week) and attract 25% of Peter’s current customers. Peter currently has 60 customers per week. 3. Excluding rent, Betty’s profit per beauty treatment is $10. 4.The weekly rent at the new location is $200 higher than Betty’s current rent. Question = If Betty moves her beauty shop, will her profits increase or decrease? By how much? Question =Suppose that if Betty makes the move, 50 percent of her original customerswill switch from George’s grooming salon to Peter’s. If Peter’s profit pertreatment is $8, how much would he be willing to pay Betty to make themove? Will the…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 minimum3. Suppose a firm has a well-behaved technology and it can produce 38 units of output using the input bundles (x1, x2) = (16,8) and (x1, x2) = (4,24). – Will the bundle (x1, x2) = (13,12) produce more output, less output, or the same amount of output? (Explain your answer.)
- Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x² C = 70,000 + 30x, R=200x - A) Costs are increasing at the rate of $ (Simplify your answer.) where the production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. B) Revenue is decreasing at the rate of $ (Simplify your answer.) C) Profits are (Simplify your answer.) 20 at the rate of $ P=R-C per week at this production level. per week at this production level. per week at this production level.1. You and your friend Casey N. have just stared a new firm manufacturing electric longboards and are now confronted by your company's long-run options for production. You need to build a production facility and you need to choose between two locations: Ohio or Mississippi. = a. Given the available technology, your firm's production function will be q 2Lª K¹, regardless of where the production facility is located. Find an expression for your firm's MRTS. Explain what the MRTS means in as plain language as possible. b. Use whatever method you prefer to find expressions for the cost minimizing levels of L* and K*. Use your results to write out the firm's long-run cost function [C(w, r,q)]. 2 c. Suppose α = 11/1, b = 1/1/2 , b = regardless of where you locate the plant. If the firm locates in Ohio, the firm will have to pay a wage, w = $64, and a cost of capital of r = $100. If it locates the plant in Mississippi it would have to pay lower wages, w = $36, but the cost of capital would be…COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibrium
- 1) The joint cost (in thousands of euros) for two products X and Y can be given by the following formula: C(x, y) = 40 + y^2 + 3x + 2xy + (x^2) y + y^3 where x represents the quantity of product X that is produced and y represents the quantity of product Y produced. • If 12 units of product X and 20 units of product Y are produced, what are the marginal costs? • What product line should be expanded in the current level of production? 2) A firm can produce up to 500 units each week. If its average cost function is C(x) = 500/x + 1500 and its total revenue function is given by: R(x) = 1600x − x^2 • What production maximizes profit? What is the maximum profit for that production level? • What production makes the profit equal to zero? (that point is called the break-even point)Question Google is considering an advertising campaign that is expected to increase the sales of its Pixel phone by 20%. Suppose that currently Google sells 1,000,000 units at $500 per unit and the variable cost per unit is $300. If the cost of the advertising campaign is $50 million, will Google find it acceptable? Question An attractive feature of new cell phones that was introduce d in recent years is that you can switch carriers easily with the same device. How does this feature affect demand for wireless phone services? What are the likely effects on the demand that a particular US carrier is facing? Are there any elasticities that were likely to be affected?a)Following model was applied to manage a fish stock efficiently in the long run: Harvest function: H(E) = 80E-2E2 tons per year where E is the number of fishing boats Cost function: TC = 100E million $ per year Fish price: P = 5 thousand $/ kg [million $ per ton] Given the fishing effort at maximum economic yield (MEY): EMEY = 15, the maximum resource rent (ΠMEY) is…………. million $ per year 1000 1550 2250 2500 b) Following model was applied to manage a fish stock efficiently in the long run: Harvest function: H(E) = 100E-3E2 tons per year where E is the number of fishing boats Cost function: TC = 100E million $ per year Fish price: P = 10 thousand $ / kg [million $ per ton] The fishing effort at maximum economic yield (MEY): EMEY =…….. boats 10 15 20 30.
