Question
Suppose that a trucking company is required by law to have two drivers in each truck at all times. As a result, in order to
Suppose that a trucking company is required by law to have two drivers in each truck at all times. As a result, in order to make a delivery, the trucking company must use two labor-hours and one truck-hour. Assume that the company is making long-run decisions, so neither capital nor labor are fixed.
A) Write down a production function that describes the number of deliveries the company can make as a function of labor-hours and truck-hours.
B) Placing labor on the horizontal axis and capital on the vertical axis, draw an isoquant representing all the combinations of labor and truck hours that will produce 5 deliveries.
C) Suppose that W = 1 and R = 3. What is the lowest cost of making 5 deliveries?
D) Now suppose that W = 3 and R = 2. What is the lowest cost of making 5 deliveries?
E) For general labor costs W and capital costs R, what is the cheapest way to make q deliveries? Write down a cost function in terms of q, W, and R: C(q,W,R).
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