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(a) Consider a firm with the following production function. Q = 2*L*L + K*K. The price of capital (K) is $100 and the price of labor (L) is $50. The marginal product of labor is 4L and marginal product of capital is 2K. If K=10, what is L at the point of cost minimization?
(b) What is the cost associated with this level of K and this level of L? What is total product?
(c) What is the slope of the iso-cost?
(d) Draw a graph illustrating the tangency between the iso-cost and the iso-quant from the above problem (label your axes and the point of tangency, including the amount of labor and capital.)
(f) Finally is the function, increasing, decreasing or constant returns to scale?
the cost of equipment replacement is 150000 every 6 years, beginning 6 years from now. How much money is required in the trust fund now to build the engineering laboratory and maintain its perpetual operation and equipment replacement
Retail electrical energy in Michigan costs $0.12/kwh. Your laptop battery fully charged stores 40 watt hours. On avergae a battery can sustain 500 full charge/discharge cycles. The cost of the battery is $100. What is the cost of electrical energy..
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and..
You work on a doughnut farm--you grow doughnuts. In each period, you are able to grow 20 doughnuts. If you go to the coffee & doughnut exchange, you may buy and sell doughnuts for $1 each, and buy and sell coffee for $2 each.
The marginal cost function of all the small salons together is SMCF = 4 + .1Q, and the marginal cost function of the dominant or leading salon is MCL = 7 + .1Q. (c) If the large salon forms a centralized cartel. what would be the best level of out..
Assume the market is characterized by a Cournot oligopoly. Determine the reaction function of each firm. Determine the equilibrium output level for each firm. Determine the equilibrium market price. Determine the market output. Determine the market p..
A profit maximizing monopolist hires workers in a perfectly competitive labor market. Employing the last worker increased the firm's total weekly output from 110 units to 111 units and caused the firm's weekly revenues to rise.
the construction time for a bridge depends on the weather. the project is expected to take 250days if the weather is dry and hot. if the wather is damp and cool it will take 350days. otherwise, it is expected to take 300 days.
given the following equations for the aggregate demand (AD) and short-run aggregate supply (SAS) curves. AD: Y = 1.25Ap + 2.5Ms/P SAS: Y = 11,250 -20W + 1,000P Where Y is real GDP, Ap is the amount of autonomous planned spending that is independen..
Two cournot duopolists produce in a market with a demand P(Q)=100-Q. The marginal cost for Firm 1 is constant and equals 10. The marginal cost for Firm 2 is constant and equals 25. The two firms want to merge, which would leave a monopoly.
Suppose you have $7,000 in savings when the price level index is at 100.( a ) If inflation pushes the price level up by 10 percent, what will be the real value of your savings ( b ) What is the real value of your savings if the price level declines b..
Suppose there are two firms in a market who each simultaneously choose a quantity. Firms 1s quantity is q1 and firms 2s is q2. Therefore the market quantity is Q=q1+q2. The market demand curve is given by P=100-4Q. Also, each firm has constant mar..
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