At Bob’s Burgers, each burger consists of exactly two buns x, one meat patty y, and one slice of cheese z. Let P denote the price of burgers and px, py, pz be the prices of each input and consider Bob’s profit maximization problem. a) Solve for Bob’s cost function
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At Bob’s Burgers, each burger consists of exactly two buns x, one meat patty y, and one slice of cheese z. Let P denote the price of burgers and px, py, pz be the prices of each input and consider Bob’s profit maximization problem.
a) Solve for Bob’s cost function C(q), and find the average cost AC(q) and marginal cost MC(q) functions.
b) Set up Bob’s profit maximization problem, find the first order condition.
c) Find the quantity of burgers that Bob supplies q(P), and find much profit he earns π.
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- Would a cost function of 0 mean a linear line of supply curve? For example if 10 firms are on the market selling 10 goods and the cost function is 0?The inverse demand for tea is given by P= 10 – 0.04Q, where Pis the price per a gram of tea and Qis the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.01q,?, where qı is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.01q2², where qp is the number of grams of tea it brings to market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number - Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £ NumberSuppose a firm engaged in the illegal copying of DVD’s has a daily short run total cost function given by: STC = (q^2)+25 If pirated DVD’s sell for $20, how many will the firm copy each day? What will its profits be? What is the firm’s short run producer surplus at P=20? Develop a general expression for this firm’s producer surplus as a function of the price of pirated DVD’s.
- The inverse demand for tea is given by P = 8 – 0.03Q, where Pis the price per a gram of tea and Q is the total number of grams of tea brought to market. There are two tea shops in the market. Shop 1's cost function is given by C = 0.02q,?, where q, is the number of grams of tea it brings to market. Shop 2's cost function is given by C2 = 0.02q22, where q2 is the number of grams of tea it brings to %3D %3D market. Given that the two shops compete by setting output (Cournot), answer the following. a) Identify shop 1's reaction function to shop 2's output to within 2 decimal places (e.g. 0.33). 91= Number Number 92 b) Identify shop 2's reaction function to shop 1's output to within 2 decimal places (e.g. 0.71). q2= Number Number 91 c) To within two decimal places (e.g. 0.63) what is the equilibrium output level of each shop and the equilibrium per gram price for tea. Shop 1 will produce Number grams of tea and shop 2 will produce Number grams of tea. The equilibrium market price is £…Suppose that the profit from the sale of Kisses and Kreams is given by the following, where x is the number of pounds of Kisses and y is the number of pounds of Kreams. P(x, y) = 10x + 6.6y - 0.001x² -0.025y² dollars You know from previous experience that, for such a profit function, profit will be maximized at the critical point of P(x,y). (a) Determine the amounts of Kisses and Kreams that will maximize profit. pounds of Kisses pounds of Kreams (b) What is the maximum profit? (Round your answer to two decimal places.) $For the pizza seller whose marginal, average variable, and average total cost curves are shown in the graph below, what is the profit-maximizing level of output and how much profit will this producer earn if the price of pizza is $1.50 per slice?Instructions: In the graph below, label all three curves by clicking on the dropdown to select the appropriate label. Instructions: Enter your response as a whole number. If you are entering a negative number, be sure to include a negative sign (−). When the price is $1.50 per slice, the profit-maximizing level of output is slices per day. Instructions: Enter your response rounded to the nearest penny (two decimal places). At the profit-maximizing level of output, the producer's profit is: $ per day.
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- Joshua owns a small boat and catches lobster off the coast of Maine. His weekly cost function is TC(q) = 40 + 5q + 5q?. He sells his lobsters to the local wholesaler at the market price p (in dollars). a) Find Joshua's short-run supply function for lobsters. (Hit: In this case short-run marginal cost is the same as long-run marginal cost.) b) Find Joshua's long-run supply function for lobsters. c) Find Joshua's shutdown price and Joshua's breakeven price (the price at which profit equals zero). d) Suppose the market price is $30, calculate his profit. What will Joshua do in the long run? Explain. 1The cost function for Acme Laundry is C(q) = 50 + 30q +q?, where q is tons of laundry cleaned. What q should the firm choose so as to maximize its profit if the market price is p? The output level at which the firm's profit is maximized as a function of p is q =|- (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a fraction can be created with the / character.) If p= 60, then Acme Laundry should produce| units. (Enter your response as a whole number.)Suppose the imaginary company of Panthera is a small, Cedar Rapids-based American apparel manufacturer specializing in athleisure. The following table presents the brand’s total cost of production at several different quantities. Fill in the remaining cells of the following table. (Graph is in images)