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Demand: Q=225-15*P Costs: 300 + 12Q + 0.5Q2(superscript)
a. What is the marginal revenue function for this firm?
b. What is the marginal cost function for this firm?
c. What is the profit maximizing level of output?
d. What is the profit maximizing level of profit for this firm?
Assume that product A requireds .5 hour per unit and B requires .25 hour per unit. If both products must go through the same manufacturing machine and there are only 30000 machine hours available per period, which product should be pushed
Consider the production of holes. To dig a hole, it takes one person (P) and one shovel (S). The total number of holes dug is given by the production function h=f(P,S)=min(P,S). If you currently have 2 persons and 4 shovels
A new engineer is evaluating whether to use a larger-diameter pipe for a water line. It will cost $350,000 more initially, but it will reduce pumping costs. The optimistic, most-likely, and pessimistic projections for annual savings are $30,000, $..
Firms often face the problem of allocating an input in fixed supply among different products. Find the optimal crude oil allocation in the proceeding example if the profit associated with fiber were cut in half, that is, fell to $0.375 per square ..
After receiving good reviews for her work at a series of art shows, Jean Rodin considers quitting her job as a management consultant to pursue full time her hobby of sculpting. Jean figures that she can sell $90,000 worth her art each year. She fo..
Max Whitley, manager of Whitley Construction, builds new homes in a booming community in the Midwest. Although the sales have slowed down because of a national recession, it now looks as if the recession is about to end. Max wants to be ready with..
In 1990 Mrs. John Hay Whitney sold her painting for $71 million. The buyer also had to pay the auction house commission of 10%, or a total of $78.1 million. The Whitney family had purchased the painting in 1929 for $165,000.
production of widgets (W) uses labor (L) as its only input. The production function is given by W=F(L)=8*L^.5 and the marginal productivity MPL=4/L^.5. If widgets sell for $10, the price of labor is $8/hour, and there is a fixed cost of $25.
You win $100 in a basketball pool. You have a choice between spending the money now or putting it away for a year in a bank account that pays 5 percent interest. What is the opportunity cost of spending the $100 now
were chosen at random, and the traffic lights of those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were: NUMBER OF ACCIDENTS
Abby consumes only apples. In year 1, red apples cost $1 each, green apples cost $2 each, and Abby buys 10 red apples. In year 2, red apples cost $2, green apples cost $1, and Abby buys 10 green apples a. Compute a consumer price index for apples ..
Suppose that the interest rate is 4 percent. What is the future value of $100 four years from now How much the future value is total interest By how much would total interest be greater at a 6 percent interest rate that at a 4 percent interest rat..
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