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-0.001x²0.025y² 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.) $
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- A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.Suppose, at a given point in time, Lynn's Licorice Loft sells licorice in a perfectly competitive market and is producing its profit-maximizing level of output. Suppose further that at this level of production Lynn's average total cost of producing licorice is $1.20, her average variable cost is $1.00, and her marginal cost is $1.30. Over time, the number of licorice sellers in the market will....*** Please answer e, f, g,h** An ice cream company finds that at a price of $4.00 for each pint, they can sell 4000 pints of ice cream per day. For every $0.25 decrease in price, daily demand increases by 200 units. The company’s cost function is C(q)=0.01q2-90q+211600, where C represents their daily costs (in dollars), and q is the number of pints sold per day. a)Find the demand function q(p). b) Find the revenue function R(q). Hint: first you will need to solve for p in terms of q from the demand function.) c) How many pints should the company sell per day if they want to maximize their revenue? d) what price should the company charge for each pint if they want to maximize their revenue? e)Use the criteria MC(q)=MR(q) to determine how many pints the company should sell per day if they want to maximize their profit. f)What is the maximum profit the company can earn per day? g)Find the average cost function. h)How many pints should the company sell per day if they want to minimize…
- Y6 questions1. A firm produces TVs and ovens witha joint cost function that takes the form:C(x,y) = 3x^2 + 2y^2 + 2xy where x and y are the firm's output of TVs and ovensrespectively. Suppose the cost function is subject to the constraint on the total output ofthe firm in the form 2x + y = 35.a) Find the optimum values x and that minimize the firm's total cost.b) Check your answer in (a) by using the bordered Hessian matrix.c)Determine the optimum value of the Lagrange multiblier À. Interpret your answer.As a producer and seller of some commodity, you have learned that, if you produce and sell x itmes in a particular month, the following functions can be used to find the cost and revenue: Revenue: R(x)=150x-x^2 and Cost: C(x)=3000+20x. (a) Write a simplified formula for your profit in a particular month, P(x)=R(x)- C(x) (b) Find the "break-even" point(s) (c) How many items should you produce and sell in a month in order to achieve a maximum profit? (d) What is the maximum possible monthly profit? This is the problem and I cannot solve the c and d, could you please help me?For the Statement at the end, there are drop down arrows and options for you to choose from, and values to fill in. Drop down options will be listen in brackets, and blanks are values that must be found. Simone's profit is maximized when she produces _______shirts. When she does this, the marginal cost of the last shirt she produces is $_______ , which is (greater/less) than the price Simone receives for each shirt she sells. The marginal cost of producing an additional shirt (that is, one more shirt over the amount that would maximize her profit) is ________, which is (greater/less) than the price Simone receives for each shirt she sells. Therefore, Simone's profit-maximizing quantity corresponds to the intersection of the (marginal cost and marginal revenue/ total cost and profit/ total cost and total revenue/ marginal cost and total revenue/ total revenue and profit/ total cost and marginal revenue) curves. Because Simone is a price taker, this last condition can also be…
- Suppose you are the manager of a watchmaking firm operating in a competitive market. Your cost of production is given by C=400+2q2, where q is the level of output and C is total cost. (The marginal cost of production, MC(q), is 4q;the fixed cost, FC, is $400). If the price of a watch is $100, how many watches should you produce to maximize profits? You should produce______watches.(Enter your response as an integer.) What will the profit level be? Profit will be $___________. (Enteryour response rounded to two decimal places.) At what minimum price will the firm produce a positive output? In the short run, the firm will produce if price is greater than $__________ per watch. (Enter your response as an integer.Assume you have decided to buy an advertisement in the local newspaper to publicize your new pet grooming service. The cost of the ad is $1,000. You have decided to charge $40 for a dog grooming, and your variable costs are $20 for each dog. How many dogs do you have to groom to break even on the cost of the ad? What is your break-even point if you charge $60 per dog?Profit maximization using total cost and total revenue curves Suppose Caroline runs a small business that manufactures shirts. Assume that the market for shirts is a competitive market, and the market price is $20 per shirt. The following graph shows Caroline's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for shirts quantities zero through seven (inclusive) that Caroline produces. Caroline's profit is maximized when she produces______ shirts. When she does this, the marginal cost of the last shirt she produces is ______, which is (GREATER OR LESS) than the price Caroline receives for each shirt she sells. The marginal cost of producing an additional shirt (that is, one more shirt than would maximize her profit) is _____, which is (GREATER OR LESS) than the price Caroline receives for each shirt she sells. Therefore, Caroline's profit-maximizing quantity corresponds to the…
- A firm makes three products, in quantities X, Y and Z. It wishes to maximize its profit function: π= 8X + 16Y + 4Z − 0.8X2 − 0.8Y2 − Z2 i) However, in order to satisfy customer orders, it must produce a total of 24 items which are either product X or product Y. Show how many of each of its three products it should produce and find the profit it makes.Based on market research, a film production company in Ectenian obtains the following information about the demand and production costs of its new DVD:Demand: P = 1,000 – 10QTotal Revenue: TR = 1,000Q – 10Q2Marginal Revenue: MR = 1,000 – 20QMarginal Cost: MC = 100 + 10Qwhere Q indicates the number of copies sold and P is the price in Ectenian dollars.d. Suppose, in addition to the costs above, the director of the film has to be paid. The company is considering four options:i. A flat fee of 2,000 Ectenian dollarsii. 50 percent of the profitsiii. 150 Ectenian dollars per unit soldiv. 50 percent of the revenueFor each option, calculate the profit-maximizing price and quantity. Which, if any, of these compensation schemes would alter the deadweight loss from monopoly? ExplainA firm’s cost curves are given in the following table. q TC TFC TVC AVC ATC MC Revenue Profit 0 RO100 RO100 1 140 100 2 160 100 3 170 100 4 182 100 5 195 100 6 220 100 7 250 100 8 290 100 9 340 100 10 400 100 Complete the table. Graph AVC, ATC and MC on the same graph. What is the relationship between the MC curve and the ATC and between MC and AVC? Suppose the market price is RO 60, how much will the firm products in the short run? How much are the total profits?