a) A highly skilled worker can use two scissors at once in his left and right hands with a production of 75 kg per hour. Draw the wine production isoquants for Q1 = 500, Q2 = 1000, Q3 = 1,500. show the most optimal position ?. %3D %3D
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- Out of 10000 people in a community, each is willing to pay Ksh 10 for each well dug. The cost of digging the wall is is given by C= Q2+20Q. Calculate the pareto efficiecy number of wells to be dug. If the government want to dug the well at a minimal cost, how many walls will it dig and how much will it spen if the projet is given to a private, profit making organization, how many well would the firm dig?Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)(b) A firm manufactures benches and tables: the quantity of benches manufactured is B and the quantity of tables manufactured is T. The total cost of manufacturing benches and tables is given by the equation: Cost = 3B2 + 5T²2 – 2BT. There is a shortage of lumber available to manufacture these items, and so, only 60 items in total have been promised to a customer. (i) Create the Lagrangian expression for Cost. (ii) The Lagrangian equations are given: 6B – 2T – 1 = 0 10T – 2B – A = 0 60 — В - Т%3D0 Calculate the minimum cost possible. (iii) If more lumber now becomes available, what selling price would be required to make a profit on an additional item produced?
- Al's production function for deer is f(x1,x2) = (2x1 + x2)^1/2, where x1 is the amount of plastic and x2 is the amount of wood used. If the cost of plastic is $4 per unit and the cost of wood is $3 per unit, then the cost of producing 5 deer is a) $55 b) $10 c) $50 d) $75It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.Hi, I have been trying to compute the optimal values from this lagrangian. But I can't seem to find a way to get the values from the answer key. I attached both the question and answers. Could you please explain to me how to get these values from the first-order conditions? Thank you very much
- A farmer can produce f(x,y) = 208-√4x² + y² units of produce by utilizing x units of labor and y units of capital. (a) (b) (c) Calculate the marginal productivities of labor and capital when x = 12 and y = 10. Let h be a small number. Use the result of part (a) to determine the approximate effect on production of changing labor from 12 to 12+h units while keeping capital fixed at 10 units. Use part (b) to estimate the change in production when labor decreases from 12 to 11.5 units and capital stays fixed at 10 units. (a) The marginal productivity of labor when x = 12 and y = 10 is (Simplify your answer.)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 fatNeed all 4 parts. ...don't attempt this question f you will not solve all four parts
- Leonard Presby, Inc., has an annual demand rate of 1,000units but can produce at an average production rate of 2,000 units. Setup cost is $10; carrying cost is $1. What is the optimalnumber of units to be produced each time?Based on the graphical representation, select the best answer from the choices below. X2 All input bundles yielding y' units of output is cheapest at the point colored in green X2* f(x1,X2) = y' X4 Select one: O True O FalseLater, the teaching assistant in Clancy’s economics course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading? 1 hour working on problems, 3 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading