$The El Dorado Star is the only newspaper in El Dorado, New Mexico. Certainly, the Star competes with The Wall Street Journal, USA Today, and the New York Times for national news reporting, but the Star offers readers stories of local interest, such as local news, weather, high- school sporting events, and so on. The El Dorado Star faces the demand and cost schedules shown in the spreadsheet that follows:
Number of newspapers per day ( Q) |
Total Revenue by day $(TR) |
Total cost per day $(TC) |
0 | 0 | 2,000 |
1,000 | 1,500 | 2,100 |
2,000 | 2,500 | 2,200 |
3,000 | 3,000 | 2,360 |
4,000 | 3,250 | 2,520 |
5,000 | 3,450 | 2,700 |
6,000 | 3,625 | 2,890 |
7,000 | 3,725 | 30,90 |
8,000 | 3,625 | 3,310 |
9,000 | 3,475 | 3,550 |
a. Please calculate and show the marginal revenue and marginal cost in another two columns.
b. How many papers should be sold daily to maximize profit?
c. What is the maximum profit the El Dorado Star can earn?
a)
Q | TR | TC | MR | MC |
0 | 0 | 2000 | - | - |
1000 | 1500 | 2100 | 1500 | 100 |
2000 | 2500 | 2200 | 1000 | 100 |
3000 | 3000 | 2360 | 500 | 160 |
4000 | 3250 | 2520 | 250 | 160 |
5000 | 3450 | 2700 | 200 | 180 |
6000 | 3625 | 2890 | 175 | 190 |
7000 | 3725 | 3090 | 100 | 200 |
8000 | 3625 | 3310 | -100 | 220 |
9000 | 3475 | 3550 | -150 | 240 |
b) SInce El Dorado star is the only newspaper in El Dorado, therefore equilibrium is attained at a poinwt where MR = MC and Mc is rising.
Thus, it should sell 5000 newspapers daily (since at Q = 5000, MR>MC and MC is rising after that).
c) Maximum profit = TR - TC
= 3450 - 2700 = $750.
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