(a) Compute and draw in the same graph marginal cost, average cost, average fixed cost and average variable cost. How to they relate to each other? (b) Compute Rodrigo's optimal output and its profits. (c) Compute the hourly rate p such that Rodrigo's breaks even, i.e. its profits are identically zero. How much will Rodrigo's produce at that level of out- put? What is Rodrigo's average cost at that price? What about its average variable cost? (d) Compute Rodrigo's short-run supply function.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. Rodrigo's again. Do you remember Rodrigo's, the Inwood-based company we
met in HW #4 that provides business services to convenience stores? Recall that
Rodrigo's rents his office space for $3,000 and pays its employees $100 per hour.
Monthly output, expressed in billable hours, is given by y = Ak'/315/9, where l
denotes the overall number of hours worked by the employees, k is capital and
A is TFP. The market for services to convenience stores is very competitive. We
$200, 000, A = 1, and the current rate per hour charged
$250. Rodrigo's management has no intention to move from
have learned that k
to clients is p
their current facilities. [Hint: Carry out your computations in symbolic algebra.
Replace variables with their numerical values only at the end.]
(a) Compute and draw in the same graph marginal cost, average cost, average
fixed cost and average variable cost. How to they relate to each other?
(b) Compute Rodrigo's optimal output and its profits.
(c) Compute the hourly rate p such that Rodrigo's breaks even, i.e. its profits
are identically zero. How much will Rodrigo's produce at that level of out-
put? What is Rodrigo's average cost at that price? What about its average
variable cost? .
(d) Compute Rodrigo's short-run supply function.
Transcribed Image Text:3. Rodrigo's again. Do you remember Rodrigo's, the Inwood-based company we met in HW #4 that provides business services to convenience stores? Recall that Rodrigo's rents his office space for $3,000 and pays its employees $100 per hour. Monthly output, expressed in billable hours, is given by y = Ak'/315/9, where l denotes the overall number of hours worked by the employees, k is capital and A is TFP. The market for services to convenience stores is very competitive. We $200, 000, A = 1, and the current rate per hour charged $250. Rodrigo's management has no intention to move from have learned that k to clients is p their current facilities. [Hint: Carry out your computations in symbolic algebra. Replace variables with their numerical values only at the end.] (a) Compute and draw in the same graph marginal cost, average cost, average fixed cost and average variable cost. How to they relate to each other? (b) Compute Rodrigo's optimal output and its profits. (c) Compute the hourly rate p such that Rodrigo's breaks even, i.e. its profits are identically zero. How much will Rodrigo's produce at that level of out- put? What is Rodrigo's average cost at that price? What about its average variable cost? . (d) Compute Rodrigo's short-run supply function.
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