For a specific production function, the associated Average Product function is (AP=) 12 L -0.2 L² and the associated Marginal Product function is (MP=) 24 L-0.6 L². Calculate the "point" version of the elasticity of Output with respect to labor (Eq,L) when labor is (L=) 35 units. Use the template provided to classify the value calculated.
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- Please calculate the total cost of providing a 50% subsidy on purchases of fruit and vegetables at farmers markets by SNAP participants. Assume that you are estimating it for the state of Connecticut with 350,000 SNAP participants. The season for farmers markets and the use of subsidies is 5 months (May-September); subsidies can only be used during this period. Based on prior studies, you know that a typical SNAP participant that attends farmers markets will purchase on average 3 lb of fruit and 2 lb of vegetables per month. Average price for vegetables is $1.5 per lb and the price elasticity of demand for vegetables among SNAP participants is -0.6. Similarly, fruit cost on average $2.5 per lb and the demand elasticity for fruit is -0.8. How much should the state of Connecticut expect to pay in total subsidies each season if only 20% of SNAP participants will attend farmers markets?The marginal profit for a certain company is MP₁(x) = -x² + 18x-45. The company expects the daily production level to rise from x = 3 to x = 5 units. The management is considering a plan that would have the effect of changing the marginal profit to MP₂(x)= -x² +14x-33. Should the company adopt the plan? Determine the area between the graphs of the two marginal profit functions from x = 3 to x = 5. Interpret this area in economic terms. C Should the company adopt the plan that would make the marginal profit be MP₂? O A. Yes, because the company will make a larger profit under the new plan. B. No, because the company's profit will be smaller under the new plan. O C. It is impossible to tell using the given information. The area between the graphs of the two marginal profit functions from x = 3 to x = 5 is sq. units.The profit from the supply of a certain commodity is modeled as P(q) = 71ge-0.29 dollars where q is the number of units produced. 0 ≤ q ≤ 100 (a) Write an expression for the rate of change of profit. (Be sure to use q as the independent variable.) P'(q) dollars per unit (b) At what production level in the domain 0 ≤ q ≤ 100 is the rate of change of profit zero? (Round your answer to the nearest whole number.) q= units (c) What is profit at the production level found in part (b)? (Round your answer to two decimal places.)
- When is use of the arc elasticity concept valid as compared with the use of the point elasticity concept?Demand = -1.5 * price + 25 Moreover, sale of product A leads to sale of another product B of the same company. Additional data is as given below. Unit cost of A (Rs.) 3 Number of units of B with one A 20 Profit from sale of one unit of B (Rs.) 0.85 Develop the optimization model for pricing of A to maximize total profit earned and find the optimal price.The quantity demanded each month of Russo Espresso Makers is 250 when the unit price is $140. The quantity demanded each month is 1000 when the unit price is $110. The suppliers will market 750 espresso makers when the unit price is $76 or higher. At a unit price of $96, they are willing to market 2250 units. Both the supply and demand equations are known to be linear. (a) Find the demand equation. P = (b) Find the supply equation. p= (c) Find the equilibrium quantity and the equilibrium price. units $
- What is the elasticity of substitution of f(K, L) = KL²? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1 (e) 3/2 (f) 2 Which of the following represents increasing returns to scale? (a) f(K, L) = (K² + L²)¹/2 (b) f(K, L) = (K¹/2 + [¹/2)² (c) f(K, L) = (K + L) (d) f(K, L) = (K + L)² Suppose the production function for good q is given by q = (k¹/2+1¹/2)2. Consider the following three statements about this function: I. The function exhibits constant returns to scale. II. The function exhibits diminishing marginal productivities in both inputs. III. The function has a constant rate of technical substitution. Which of these statements is true? (a) All of them (b) None of them (c) I and II, but not III (d) II and III, but not IThe elasticity of labor supply among females is -0.12. The interpretation of this estimate is what?The wage elasticity of labor supply can be calculated using the following approach
- When the price of a gallon of milk increases from $6 to $8, quantity demanded decreases to 27 gallons. Assuming the price elasticity of demand for milk is -0.3, what is the original quantity demanded? (assuming further that this is the point elasticity relative to the original point on the demand curve.) Please make sure you give a numerical answer with no units and/or space or period (.) or comma (,) before or after your answer. Enter your answer here(b) Identify the wage-rental ratio in a diagram with k on the horizontal axis and y and W(k) on the vertical axis. (c) The elasticity of substitution in production is defined as: FLFK OKL = F(K,L)FLK dk w Show that the elasticity of the (w) function, defined as is equal to oKL: dw kTutorial Exercise Worldwide annual sales of smartphones in over a 5 year period were projected to be approximately q = −10p + 4,540 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. (b) In one particular year the actual selling price was $277 per phone. What was the corresponding price elasticity of demand? Interpret your answer. (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest $10 million, would have been the resulting annual revenue? Step 1 (a)Obtain a formula for the price elasticity of demand E. Recall that the price elasticity of demand E is the percentage rate of decrease of demand divided by the percentage increase of price, given by the formula. E = − dq dp · p q We are already given the formula q = −10p + 4,540 for the demand of smartphones (in millions). First, we find the derivative…