Functional forms of producing beef (in lb) from corn (bu) are given as below. Beef is y and corn is x. y=x² for x=0,1,2,3,4 and y=-(x-7)²+25 for x=5,6,7,8,9, and above. What is the output level when x=5? 25 21 9 24 24 16
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- Given the input-output matrix below, find the output matrix if final demand changes to 600 for water, 180 for electric power, and 700 for agriculture. Industry Electric Power Water 120 Agriculture Final Demand 240 320 160 Water 480 270 Electric Power Agriculture Other Industry: 60 120 170 400 180 240 240 360 80 The output matrix is X=. (Round to two decimal places as needed.)The marginal cost of producing the xth box of light bulbs is 4 + x2 dollars per box. Determine how much is added to the total cost by a change in production from x = 20 to x = 80 boxes. 1,000Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)
- A computer production facility has a daily demand rate of 6 and a daily production rate of 20. Set up costs are $100 per order. They have calculated that the economic order quantity is 250 computers. Given this info, what is the best economic production quantity?The market for high-quality caviar is dependent on the weather. If the weather is good, there are many fancy parties and caviar sells for 300 SEK per kg. In bad weather it sells for only 200 SEK per kg. Caviar produced one week will not keep until the next week, i.e. it has to be sold and consumed the same week it is produced. A small caviar producer has a cost function given by C=5q2 - 50q + 1000 where q is the weekly caviar production. Production decisions must be made before the weather (and hence the price of caviar) is known, but it is known that good weather and bad weather each occur with a probability of 0.5. a) How much caviar should the firm produce per week if it wishes to maximise its expected profit? b) Suppose the owner of the firm has a utility function of the form U(π)=√π where π is weekly profits. What is the expected utility associated with the strategy in (a)? c) Suggest a weekly production level that would give the owner higher expected utility than the…On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.
- 2.3 Suppose a farmer is using fertilizer (X) to produce two products: cotton (Y₁) and maize (Y2). The production function for X in the production of outputs Y₁ and Y2 is given by Y₁ = XY10.33 and Y2= XY₂0.5. Find the rate of product transformation Y₁ for Y2.Functional forms of producing beef (in lb) from corn (bu) are given as below. Beef is y and corn is x. y = x² for x=0,1,2,3,4 and y = -(x-7)² + 25 for x=5,6,7,8,9, and above. What is the output level when x=5? 25 21 9 24 16Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) b. consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits? c. Analyze, with graphs, the two alternative pricing strategies available to the company.
- Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits? (iii) Analyze, with graphs, the two alternative pricing strategies available to the company.Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) A.Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. B.Now consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits?…Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) a. Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market.