Suppose a cable company provides cable service to a small town. The total revenue, marginal revenue, total cost, and marginal cost of providing various quantities of cable subscriptions (units in thousands per month) are presented in the table below.
Quantity |
Price |
Total Revenue |
Marginal Revenue |
Total Cost |
Marginal Cost |
0 |
192192 |
$0 |
- |
0 |
- |
1 |
191191 |
191191 |
191191 |
180180 |
180180 |
2 |
190190 |
380380 |
189189 |
270270 |
9090 |
3 |
189189 |
567567 |
187187 |
330330 |
6060 |
4 |
188188 |
752752 |
185185 |
420420 |
9090 |
5 |
187187 |
935935 |
183183 |
660660 |
240240 |
6 |
186186 |
11161116 |
181181 |
960960 |
300300 |
Assume the local cable company is a monopoly. To maximize profits, the monopoly should produce
nothing
(thousand) units. (Enter a numeric response using an integer.)
At that level of output, the cable company will earn economic profits of
$nothing
(thousand per month) .
Quantity | Price | Total Revenue | Marginal Revenue | Total Cost | Marginal Cost |
0 | 192 | 0 | - | 0 | - |
1 | 191 | 191 | 191 | 180 | 180 |
2 | 190 | 380 | 189 | 270 | 90 |
3 | 189 | 567 | 187 | 330 | 60 |
4 | 188 | 752 | 185 | 420 | 90 |
5 | 187 | 935 | 183 | 660 | 240 |
6 | 186 | 1116 | 181 | 960 | 300 |
TR = P x Q
MR (nth unit) = TR (n units) - TR ((n-1) units)
MC (nth unit) = TC (n units) - TC ((n-1) units)
Profit would be maximized at an output where MR > = MC for the last quantity produced.
The monopoly should produce 4 thousand units.
At that level of output, the cable company will earn economic profits = 4 x 188 - 420 = $ 332 thousand
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