Chapter 11W – Technology, R&D, and Efficiency
11W-8
a. What is the expected rate of return on this R&D expenditure?
The expected rate of return equals the (expected) profit from the R&D divided by the
b. Suppose the firm can get a bank loan at 6 percent interest to finance its $20 million
R&D project. Will the firm undertake the project?
The firm will not borrow at a rate greater than the expected rate of return. Since the bank
c. Now suppose the interest‐rate cost of borrowing, in effect, falls to 4 percent because
the firm decides to use its own retained earnings to finance the R&D. Will this lower
interest rate change the firm’s R&D decision?
The firm will borrow at a rate less than the expected rate of return. Since the bank loan
d. Now suppose that the firm has savings of $20 million—enough money to fund the
R&D expenditure without borrowing. If the firm has the chance to invest this money
either in the R&D project or in government bonds that pay 3.5 percent per year, which
should it do?
The firm will invest its savings where the return is the highest. Since government bonds
e. What if the government bonds were paying 6.5 percent per year?
2. A firm faces the following costs. Its total cost of capital = $1000; its price paid for labor = $12
per labor unit; and its price paid for raw materials = $4 per raw‐material unit. LO3
a. Suppose the firm can produce 5000 units of output this year by combining its fixed capital with
100 units of labor and 450 units of raw materials. What are the total cost and average total cost of
producing the 5000 units of output?
b. Now assume the firm improves its production process so that it can produce 6000 units of
output this year by combining its fixed capital with 100 units of labor and 450 units of raw
materials. What are the total cost and average total cost of producing the 6000 units of output?
c. If units of output can always be sold for $1 each, then by how much does the firm’s profit
increase after it improves its production process?
d. Suppose that implementing the improved production process would require a one-time-only
cost of $1100. If the firm only considers this year’s profit, would the firm implement the
improved production process? What if the firm considers its profit not just this year but in future
years as well?