A gizmo producer operates in a perfectly competitive market with a price of $100 for a can of gizmos. The gizmo producer has a marginal cost curve equal to 0.52q, where q is the number of cans of gizmos produced. The gizmo producer currently produces 192 cans of gizmos. Should the gizmo producer produce 193 cans of gizmos instead? No, the marginal cost of the 192nd box is above marginal revenue, so production is already too high. No, while the marginal cost of the 192nd box is below marginal revenue, the marginal cost of 93rd box is above it, so profit is already maximized. None of these answers. Yes, the marginal cost of the 192nd box is below marginal revenue, so production is too low, and profits are not maximized.
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- Northside Social (NS) sells cups of coffee and amazing breakfast sandwiches. The current price of a cup of coffee is $3.00 and the current price of an amazing breakfast sandwich is $8.00. At those prices, NS sells 1000 cups of coffee and 200 breakfast sandwiches daily. NS faces a constant marginal cost for each cup of coffee of 50 cents and the constant marginal cost of breakfast sandwiches is $2. NS increases the price of coffee 5%, to $3.15. After the price increase, NS sells 900 cups of coffee, a decrease of 10% in cups of coffee. Assuming the above, what if NS also changes the price of breakfast sandwiches from $8 to $10 (a 25% increase in price) and that the number of breakfast sandwiches sold decreases from 200 to 180 (a 10% decrease in quantity). Which of the following is true? A) Coffee profits and breakfast sandwich profits increase.B) Coffee profits decrease by more than breakfast sandwich profits decrease.C) Coffee profits decrease by more than breakfast sandwich profits…SANUMARC produces fingerlings for sell. The quantity x (kg) of these fingerlings demanded each week is related to the wholesale unit price p by the equation P = − 0.006x + 180 The weekly total cost incurred by SANUMARC for producing x kgs of fingerlings is C(x) = 0.000002x3 – 0.02x2 + 120x + 60,00 a. Find the marginal cost function C, b. Find the marginal revenue function R’ and the marginal profit function P’ c. Compute P’(2000) and interpret the results.Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q². a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why?
- 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 £…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 £ NumberThe market for smart thermostats has grown increasingly competitive. Producers of smart thermostats all rely on the same technology and face the same costs. The cost function for a smart thermostat producer is given by the following function: c(y)=-10y+2003 where y stands for the number of smart thermostats produced and sold in a month. 2nd attempt Suppose the market demand for smart thermostats in any month is given by QD = 305 - p. In the long-run equilibrium, we would expect to find firms in the industry. See Hint
- Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*The Lead Zeppelin Company produces powered and steerable lighter-than-air craft. The company’s airships are specially lined and are therefore safer than normal dirigibles. The table below shows the weekly production of dirigibles, along with the associated Average Cost and Total Revenue figures (the Average Cost and Total Revenue figures are actually in thousands of dollars, so the $15 represents $15,000, but we have left off the zeros to save space). Quantity Average Cost Total Cost Total Revenue 0 -- 0 $0 1 $15 15 $10 2 $9 18 $20 3 $8 24 $30 4 $8.50 34 $40 5 $9 45 $50 6 $10 60 $60 7 $12 84 $70 The Lead Zeppelin Company has decided that it will produce at least 1 dirigible. Now the question becomes, how many more dirigibles should it produce to make as much profit as possible? Use the profit-maximizing rule to explain how many dirigibles the Lead Zeppelin Company should produce to…the cost of producing a bottle of zlurp is 1.50, and the competitive suppliers sell it at this price. Each whovillian will consume
- A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars per tie, where MP(x) = 1.60 + 0.10x – 0.0012x². Also, the shop will lose $70 per day at a sales level of x = 0. Find the profit from operating the shop at a sales level of x ties per day. P(x) =A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars per tie, where MP(x)=1.40 +0.02x -0.0006x². Also, the shop will lose $75 per day at a sales level of x = 0. Find the profit from operating the shop at a sales level of x ties per day. P(x)=Best Orange Juice Company is located in Oman. The cost function for total orange juice production (x) is given by C(q) = 0.25x2. Their orange juice is demanded only in Muscat (Muscat demand is xm= 100-2Pm) and Salalah (Salalah demand is xs= 100-4Ps). Therefore, the total demand is x=xm+ xs. If the company can control the quantities supplied to each market, how many should it sell in each location to maximize total profits? What price would it charge in each location?