A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: Bread: Constraint: C = 36Wc - 1.5Wc² B = 65WB - 2WB² Wc+ WB = 5,195 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 5,195 units of raw wheat available. How much wheat should go to the cereal (W)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.
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- A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC - 1.5Wc Bread: B = 65WB - 2WB2 Constraint: WC + WB = 4144 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 4,144 units of raw wheat available. How much wheat should go to the cereal (WC)?A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC – 1.5WC2 Bread: B = 66WB – 2WB2 Constraint: WC + WB = 7,058 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 7,058 units of raw wheat available. How much wheat should go to the cereal (WC)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: C= 30WC - 1.5WC2 B = 74WB - 2Wg? Wc+WB 8294 Cereal: Bread: Constraint: Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 8,294 units of raw wheat available. How much wheat should go to the cereal (Wc)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER. Type your answer.
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: Bread: C=37Wc 1.5Wc² B = 76WB - 2WB² Wc+WB 8,155 Constraint: Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 8,155 units of raw wheat available. How much wheat should go to the cereal (WC)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.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 – P1Sri 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) Required. 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.? 2. Now consider two cases: (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 thesameprice in the two markets what are the profit…
- . An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionA 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?
- Winter Fun© has determined that the total revenue (in dollars) for its west coast factory from the sale of x Blazing Blue snowmobiles is given by 1700x R(x) : In(7x + 7) Find the marginal revenue when 225 Blazing Blue snowmobiles are sold. a) R'(225) = Round to two decimals as needed. b) Interpret the answer from part (a): Revenue will Select an answer ♥ by $ more snowmobile(s) sold when the number of snowmobiles produced and sold is forRoad 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) 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?…