Tasty Inc. sells table salt to both retail grocery chains and commercial users (e.g., bakeries, snack food makers, etc.). The demand function for each of these markets is: Retail grocery chains: P1 = 180 − 8Q1 Commercial users: P2 = 100 − 4Q2 where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Tasty's total cost function (which includes a "normal" return to the owners) for salt is:
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Retail grocery chains:
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P1 = 180 − 8Q1
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Commercial users:
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P2 = 100 − 4Q2
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where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Tasty's total cost function (which includes a "normal" return to the owners) for salt is:
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TC = 50 + 20(Q1 + Q2)
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(a)
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Determine Tasty's total profit function.
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(b)
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Assuming that Tasty Inc. is effectively able to charge different prices in the two markets, what are the profit-maximizing price and output levels for the product in the two markets? What is Tasty's total profit under this condition?
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- JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. Suppose the situation changes. JointJuice has its plant in Portland Oregon. The local government passes a new tax on…I need to second half answered. JointJuice produces a prepackaged joint support supplement for relief of joint pain with 180 tablets per bottle and operates in a perfectly competitive market. Basically, all the firms in this competitive market have technologies (production and cost conditions) that are the same as JointJuice’s. Suppose JointJuice’s total cost function is given by the following where q is JointJuice’s quantity of packages per day: C(q) = 250 + 6q + 0.1q^2 The market demand function for the output in this market is given by: Q = 1848 - 2P If there are 20 identical firms in this industry, find the market equilibrium price for the prepackaged supplements. Calculate JointJuice’s optimal output level and profits given the market price for the product. If JointJuice is typical of the firms in this industry calculate the firm’s long-run equilibrium output, price, and profit level. - answers for first half JointJuice is a prepackages supplement-producing firm. Suppose…Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two 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 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?…
- Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two 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) 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 the same price in the two markets what are the profit maximizing levels of price, output, and the total profits? Analyze, with graphs, the two alternative pricing…A manufacturer of mountain bikes has the following marginal cost function: C′(q)=700/0.5q+2 where qq is the quantity of bicycles produced. When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook. a) If the fixed cost in producing the bicycles is $3200, find the total cost to produce 35 bicycles.Answer: $ b) If the bikes are sold for $250 each, what is the profit (or loss) on the first 35 bikes?Answer: $ c) What is the marginal profit on bike number 36?Answer: $Pizza Hut and Dominoís are considering to open a shop in a new shopping precinct in Burwood. Suppose both charge $10 for a pizza (price competition is ignored here), and the aggregate local demand for pizza at this price is Q: If both Örms open a shop in the shopping precinct, Q is shared equally between the two shops. On the other hand, if there is only one pizza shop in the shopping precinct, the total demand Q goes to that shop. The total cost function for Pizza Hut is TC P(Q) = 5Q + 6000 and the total cost function for Dominos is TCD(Q) = 5Q+ 6000: Each has two strategies: Open a shop or Not, and they make their decisions simultaneously. The payoff is zero for a firm that does not open a shop in the shopping precinct. Suppose Q= 3000: Construct a 2 X 2 payoff matrix for this entry game between Pizza Hut and Dominoís and Önd the NE of the game. Suppose Q = 2000:Construct a 2x2 payoff matrix for this entry game between Pizza Hut and Dominoís and Önd the NE of the game.…
- Answer b and c 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? c. Analyze,…The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed: P=1,760−12Q�=1,760−12� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is . The total profit at this price-output level is . The point price elasticity of demand at the profit-maximizing level of output is . The level of fixed costs the firm is experiencing on its bed production is . What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated? Increase No change Decrease Price Charged Output Produced Profits Generated
- 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) 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.The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed: P=1,265−9Q�=1,265−9� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is . The total profit at this price-output level is . The point price elasticity of demand at the profit-maximizing level of output is . The level of fixed costs the firm is experiencing on its bed production is .Suppose that two European electronics companies, Siemens (Firm S) and Alcatel-Lucent (Firm T), jointly hold a patent on a component used in airport radar systems. - Demand for the component is given by the following function \[ P=1,000-Q \] - The total cost functions of manufacturing and selling the component for the respective firms are \[ \begin{array}{c} T C_{S}=70,000+5 Q_{S}+0.25 Q_{S}^{2} \\ T C_{T}=110,000+5 Q_{T}+0.15 Q_{T}^{2} \end{array} \] Assume that the firms agreed to form cartel and calculate the joint profit.