The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
16% would be the correct answer
Answer: 7/16
Step-by-step explanation:
Distance of the relay race = 1 3/4 miles
Number of runners for the relay team = 4 runners
Distance to be run by each runner will be:
= Distance of the relay race / Number of runners
= 1 3/4 ÷ 4
= 7/4 ÷ 4
= 7/4 × 1/4
= 7/16
Each runner will run 7/16 miles
(1/2) / (1/4) = 1 / x......1/2 wall to 1/4 hr = 1 whole wall to x hrs
cross multiply
(1/2)(x) = (1/4)(1)
1/2x = 1/4
x = 1/4 * 2
x = 2/4 reduces to 1/2....so it will take 1/2 hr (or 30 minutes) to paint the whole wall.
The answer is 85 sheep are spotted
