A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function T(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)
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- 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) (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…
- 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.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) 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. 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?…A store sells two types of computer sleeves, A and B. The weekly demand and cost functions are Туре А: р — 250 + 4х Туре B: q 3 Cost Function: C(x, y) = 40x + 80y + 1500 12y 330 – 5x + 2y - where p pesos is the price of Type A, and q pesos is the price of Type B, x is the weekly demand for Type A, and y is the weekly demand for Type B. Find R(10, 5) and P,(10, 5) and interpret these values.
- Complete all of the following definitionsRoad 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…Roger Clark obtains long-stem roses from Fred’s Flowers each Friday for sale to the public. Fred generally sells Roger flowers that, if left over the weekend, would likely be unsalable the next week. Hence, he is willing to give Roger a good price on his remaining long-stem roses and to take back any roses that are not sold over the weekend and give Roger partial credit for them. Roses are sold to Roger in quantities or units of one dozen each and at a price of $10 per dozen. Roger sells the roses for $15 per dozen, and any remaining unsold over the weekend can be returned to Fred at a credit of $8 per dozen. Although the number of roses remaining to be sold at the end of the week varies, Fred is willing to let Roger have as many as six dozen each weekend and supply him with fresh flowers at the same price if Roger desires more than the quantity of “old” roses that Fred has. Characterize this decision problem both in terms of the various states of nature (demands) and in terms of the…
- Suppose that you can sell as much of a product (in integer units) as you like at $60 per unit. Your marginal cost (MC) for producing the qth unit is given by: MC=7q This means that each unit costs more to produce than the previous one (e.g., the first unit costs 7*1, the second unit (by itself) costs 7*2, etc.). If fixed costs are $125, what is the profit at the optimal integer output level? Please specify your answer as an integer.Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)GeeM has a sporty wheel package and a luxury interior package that it is considering offering to its auto buyers. GeeM has estimated that there are three consumer types (A, B, and C-all of equal magnitudes--for simplicity, consider it one of each type). Consumers want (at most) one of each package. It costs GeeM 5 to produce a sporty wheel package and 10 to produce a luxury interior package. It will cost GeeM 15 to produce a bundle consisting of both packages. The following are the consumer reservation prices for each package: Wheels Consumer Interior A 11 24 В 35 12 С 18 28 A consumer's reservation price for a bundle consisting of sporty wheels and a luxury interior is the sum of the individual component reservation prices. GeeM does not price discriminate