Question

In: Economics

Steve and Sons Solar Panels has a production function of Q = 4KL and faces a...

Steve and Sons Solar Panels has a production function of Q = 4KL and faces a wage rate of $8 per hour and a rental rate of capital of $10 per hour. Assume that, in the short run, capital is fixed at K = 10.

a. Derive the short-run total cost curve for the firm.
b. Derive expressions for the firm’s short-run average total cost, average fixed cost, average variable cost, and marginal cost.

c. Derive the long-run expansion path function for the given production function. d. Derive the long-run total cost curve for the firm.
e. Derive expressions for the firm’s long-run average total cost and marginal cost.

Solutions

Expert Solution


Related Solutions

Flat Solar Panels: A field of flat solar panels angled to best catch the incident solar...
Flat Solar Panels: A field of flat solar panels angled to best catch the incident solar radiation is expected to yield a power of 2.6 MW and will cost $87 million initially with first-year operating costs of $2 million, growing 250,000 annually. It will produce electricity worth $6.9 million the first year; this revenue stream is expected to increase at a simple interest rate of 12%, every year from there on (that is, 112% of 6.9 Mil in year 2,...
The government decides to subsidize the solar panels industry to encourage the adoption of solar panels...
The government decides to subsidize the solar panels industry to encourage the adoption of solar panels and enhance its competitiveness. They decide to subsidize the producers by $8 for every unit of solar panel they produce. The demand and supply curves are Qd = 103 − 7P, Qs = 3P. As a result of the subsidy, buyers will pay $[Answer] less per unit. At the same time, the sellers will receive $[Answer] more per unit. Given the above information, we...
Solar Charge is a company that manufactures solar panels for use in residential buildings. It has...
Solar Charge is a company that manufactures solar panels for use in residential buildings. It has received an unsolicited request from a foreign buyer, willing to buy 100,000 units at $1200 each (Ex-works). It will take a year to fulfill the order and the purchaser will pay the entire amount owing when a shipment is completed. The cost of producing each unit is $1000 and the company would have to take out a loan to finance the production of the...
2. A firm has production function Q = k^1/2L^1/2 and faces a wage for the labor...
2. A firm has production function Q = k^1/2L^1/2 and faces a wage for the labor input w = 1 and a rental price of capital r = 9 a. The policy of the Federal Reserve brings the rental price of capital to r = 4 Graph the change of the cost minimizing equlibrium explaining the type of substitution that is happening. b. Compute the new cost function. Suppose a monopoly and show graphically if after this change in the...
Mechanized solar panels: A field of mechanized solar panels with motors that allow panel frame motion...
Mechanized solar panels: A field of mechanized solar panels with motors that allow panel frame motion so that the panel themselves will be normal to incident radiation any time of the day. This design is expected to yield a power of 3.1 MW and will cost $101 million initially with first-year operating costs of $2.3 million, growing 300,000 annually. It will produce electricity worth $8.8 million the first year; this revenue stream is expected to increase at a simple interest...
A monopolist has the cost function C(Q) = 30*Q, and faces two types of consumers, A...
A monopolist has the cost function C(Q) = 30*Q, and faces two types of consumers, A and B, with the following demand curves for its product: PA = 60 – 3*QA PB = 80 – 2*QB (4 points) What price will the monopolist charge under uniform pricing? (3 points) What prices will the monopolist charge if it can price discriminate? (3 points) How much higher is the monopolist’s profit in (b) than in (a)?
A monopoly faces the following demand function: P=1200-Q. Variable production costs are VC(Q)=2Q^2.
A monopoly faces the following demand function: P=1200-Q. Variable production costs are VC(Q)=2Q^2. The firm also pays $50000 in costs that do not depend on production (even if q=0).What are the sunk costs, the fixed (but not sunk) costs, and the variable costs for this firm?Find the profit maximizing quantity and price, as well as profits.Repeat question 1 above if the costs of the firm are now 0 if it does not produce, but 2Q^2+150000 if it produces any positive...
A monopoly faces market demand Q = 30−P and has a cost function C(Q) = Q^2...
A monopoly faces market demand Q = 30−P and has a cost function C(Q) = Q^2 (a) Find the profit maximizing price and quantity and the resulting profit to the monopoly. (b) What is the socially optimal price? Calculate the deadweight loss (DWL) due to the monopolist behavior of this firm. Calculate consumer surplus (CS) and producer surplus (PS) given the profit maximizing price. (c) Assume that the government puts a price ceiling on the monopolist at P =22. How...
A monopolist has the following cost function: C(q) = 800 + 8*q + 6*q2 It faces...
A monopolist has the following cost function: C(q) = 800 + 8*q + 6*q2 It faces the following demand from consumers: P= 200 – 2*Q. There is another firm, with the same cost function, that may consider entering the industry. If it does, equilibrium price will be determined according to Cournot competition. How much should the monopolist optimally produce in order to deter entry by the potential entrant? How much would the monopolist produce if there were no threat of...
A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q)...
A monopolist faces the demand function Q = 20 – 2P. Its cost function is TC(Q) =0.5Q. Solve for the monopolist’s profit-maximizing price and output and calculate its profit as well as the consumer surplus and deadweight loss.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT