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A profit-maximizing firm manufactures widgets (Y) using machines (K) and full-timeworkers (L). In any given week, its output is given by the production function:Y= F (K, L) = 1200K +700L + 2KL - L2 - 2K2The marginal product of labor (MPL) isMPL = 700 +2K - 2LAnd the marginal product of capital (MPK) isMPK = 1200 +2L - 4K
The firm operates in perfectly competitive market and product markets. The going price of capital (r) is $1,000 per machine per week. Moreover, the firm sells its output at the going price (p) of $1 per widget. Consider the firm's short run labor demand problem.
If the current stock of capital is fixed at 250 units, how many full-time workers should the firm employ if the weekly salary of each full-time worker (w) is $400 per week? Compute the firm's level of output and profits per week in this short-run equilibrium.
Consider the following sequence of year-end cash flows: EOY cash flow 1 2 3 4 5 (1)=$8000 (2)=$15,000 (3)=$22,000 (4)=$29,000 (5)=$36,000 What is the uniform annual equivalent if the interest rate is 12% per year
The new lender will charge interest of 4.27 percent compounded quarterly. Petra wants to pay off the new loan with three payments. The first payment will be made in fourteen months. Determine the amounts Petra will pay under this arrangement.
Suppose that market demand is given by P = 260 - 2Q and that firms again have a constant marginal cost of 20, while incurring no fixed cost, but now assume that the firms are Bertrand competitors and have unlimited capacity.a. What is the one-peri..
Use the given equation and determine the demand equation as a function of Ps if the price of other pastas (Po) is $2,
If the firm can not produce in total more than 14 units, then what would be the maximum profit and the optimal values of Q1 and Q2? Find an answer using the Lagrange multiplier. Find a value of the Lagrange multiplier. What economic interpretation..
Game Theory Suppose there are only two car companies, Ford & Chevrolet. Ford believes that Chevrolet will match any price it sets, but Chevrolet too is interested in maximizing profit. Use the price and profit data.
The Present value of the following 2 cash flows are equivalent if the interest rate is i. Which one is more valuable if the interest rate is 2i? P=F(1+i)^-n Option 1 = 3 periods Option 2 = 2 periods.
Suppose there are n identical firms in a market. Each firm's cost function is given by C = 240+ 15q2, where q is the amount that an individual firm produces. This means that an individual firm's marginal cost is given by MC = 30q. Also, the marke..
a sewage treatment plant and deposit sufficient money in a perpetual trust fund to pay the $5000 per year operating cost and to replace the treatment plant every 40 years. The plant will cost $150,000, and future replacement plants will also cost
Total annual taxable income is $210,000; tax is: 2. Your company is in the 34% tax bracket; for an additional $32,000, your incremental tax is: 3. Your total taxable income is $64,000; you are considering an investment that will net an additional $..
Tom is a utility maximizer with an income of $200/week, which he spends on two goods, food and clothing. The unit prices of food and clothing are $3 and $20 respectively. 1.) Draw a graph that shows Tom's choice using an indifference curve and his..
claimed that if z+x/y, then g(z) = g(x)-g(y), where g(.) represent the growth rate of the variable in question. Prove this result in a formal way using two methods. First, repeat the method that we used in class to prove that if z = xy, then g(z)=g..
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