# 經濟學 計算題一題10點!!

P=\$130-\$0.000125Q

MR=\$130-\$0.00025Q

1)請計算 產出、價格、總收益及在最大收益時的總利潤

2)請計算 產出、價格、總收益及在最大利潤時的總利潤

Restaurant Marketing Services, Inc., offers affinity card marketing monitoring systems to fine dining establishments nationwide. Fixed costs are \$600000 per year. Sponsoring restaurants are paid \$60 for each card sold, and card printing and distribution costs are \$3 per card. This means that RMS's marginal costs are \$63 per card. Based on recent sales experience, the estimated demand curve and marginal revenue relation for are:

P=\$130-\$0.000125Q

MR=\$130-\$0.00025Q

1)Calculate output, price, total revenue, and total profit at the revenue-maximizing activity level.

2)Calculate output, price, total revenue, and total profit at the profit-maximizing activity level.

Rating

不曉得 \$ 是什麼意思，我自動忽略

1.

Max. TR → MR = 0 ( 就是邊際收益不會再增加 )

MR = 130- 0.00025Q = 0 → Q = 520000

Q 代入需求，得 P = 130 - 0.000125．520000 = 65

TR = P．Q = 520000．65 = 33800000

π= TR - TC = 33800000 - 600000 - 63．520000 = 440000

2.

利潤最大條件 → MR = MC，所以

130- 0.00025Q = 63 → Q = 268000

Q 代入需求，得 P = 130 - 0.000125．268000 = 96.5

TR = P．Q = 268000．96.5 = 25862000

π= TR - TC = 25862000 - 600000 - 63．268000 = 8378000

Source(s): ME