Question 30
Suppose PharmaCorp is the only seller of a type of Medicine. The higher the price for Medicine, the smaller the quantity (Q)
sold. Demand for Medicine is given by the equation WTP - $50-$5Q. and PharmaCorp incurs a fixed cost of $40 and a unit
cost of $10, so its cost is given the equation C(Q)- $40+ $100.
Q
1
2
3
4
5
The table below partially presents consumers' willingness-to-pay (WTP), the monopolist's (or the price-setting firm's) total cost
(C(Q)), average cost (AC), marginal cost (MC), total revenue (R), marginal revenue (MR), and profit (n).
6
WTP
35
I
C
90
AC
23.33
16.67
MC
10
a. (2.5 points) What is the marginal cost when the output level is 5?
b. (2.5 points) At what quantity will PharmaCorp maximize its profit?
R
80
Owords
MR Profit
-5
15
10 pts/nQ
1
2
3
4
5
6
ginal co
WTP
35
ers' willingness-to-pay (WTP), the monopolists for the price-seting firms to t
C. total revenue (R), marginal revenue (MR), and profit (
с
$40+ $100.
50-$50, and PharmaCorp incirs a fond cost of $40
er the price for Medicine, the smaller they
90
AC
23.33
MC
a. (2.5 points) What is the marginal cost when the output level is 5?
b. (2.5 points) At what quantity will PharmaCorp maximize its profit?
16.67
10
R
80
c. (2.5 points) How much profit is the firm making at that quantity (in part (bi)?
d. (2.5 points) What is the marginal revenue when the output level is 6?
MR Profit
1-5
15
(hint: the fastest way to answer these questions are by doing the calculations as we did in class using the formula and applying
basic calculus; however, you can also complete the table and use that. Recall your understanding of marginal cost and marginal
revenue. For profit-maximizing output, what is the condition that has to be satisfied? Fun fact: You do not need to complete the
entire table!)
Fig: 1
Fig: 2