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The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly demand for electricity in these counties, which is given by the inverse demand function P = 1000 - 5Q, the utility company has set up two electric generating facilities: Q1 kilo-watts are produced at facility 1, and Q2 kilo-watts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricity at each facility are given by C1(Q1) = 10,050 + 5Q1^2 and C2(Q2) = 5,000 + 2Q2^2, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company's profits.
Suppose that fixed costs increase by $50 but the prevailing market price remains unchanged. Using algebra determine the effects of this change in cost on the profit maximizing output and the optimal profit. Do you see any change from your answer t..
A firm has Total Costs (TC) of $12,000 over the next three months (TOTAL for the 3 months - not per month), of which $8,000 are fixed costs (TFC) for rent on its lease that cannot be broken. If it stays in business over those months, then the firm..
Using the rule that the area of a triangle equals one half times the base times the height, calculate the consumer surplus and the producer surplus and the total (social) surplus. Does this outcome attain allocative efficiency.
An airport needs a modern material handling system for facilitating access to and from a busy maintenance hanger. A second-hand system will cost $75,000. A new system with improved technology can decrease labor hours by 20% compared to the used sy..
If R and F both have 12 hours of labor that they can give to catching fish or goats, and R requires 1 hour to catch a fish and 2 hours to catch a goat, F requires 6 hours to catch a fish and 3 hours to catch a goat. They are able to trade at Pf=Pg..
A family wants to start an education account in 2010 (1st payment at year end 2010) by making equal annual payments in constant 2010 dollars until the time of the last tuition payment. Calculate the equal annual constant 2010 dollar payment.
As capital investment analyst for the Parkhurst Printing Corporation, you have been asked to evaluate the advisability of purchasing a new printing press to accommodate projected increases in demand. This new machine is expected to last 5 years, a..
An engineering department is considering purchase of an advanced computational fluid dynamics software system to enhance productivity. the initial cost of the software is $55,000 but is expected to result in efficiency savings of $25,000 the first..
Suppose instead that the goverment wished to raise GDP to 7,100, but it was unwilling to run a surplus or deficit. Therefore the change in government purchases would have to be matched by and equal change in taxes. What change in government purcha..
If you used the uncompensated demand curve to calculate the change in consumer surplus, would your calculation be too high or too low?I. Provide a graph showing the initial outcome, the outcome after price change, the income effect, the substituti..
Suppose the microchip producer faces demand and cost equations given by Q= 8.5 - 0.5P and C = 100 = 38Q. Choosing to treat price as its main decision variable, it writes profit as: f= R- C = [P(8.5-.05P)] - [100+(38)(8.5 - .05P)] = -423 +10.4P - ...
Consider a Stackelberg duopoly game of quantity competition. Firm #1 is the "Leader" and firm #2 is the "Follower." Market demand is given by the inverse demand function p=100-4Q.where Q=q1+q2 is the total output of the two firms.
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