Answer:
2500 phones produced at $250 per phone
Max weekly revenue would be $625,000.
Step-by-step explanation:
p = 500 - 0.1x
p is the price per unit
revenue = quantity * price/unit
R(x) = revenue = p(x)*x = 500x - 0.1x²
p(x) maximum when first derivative is set to 0
500 - 0.2x = 0 ==> x = 500/0.2 = 2500 quantities
price/unit : p = 500 - 0.1*2500 = 500 - 250 = 250
revenue :
r(2500) = 500*2500 - 0.1*2500²
r(2500) = 2500(500 - 250) = 625000
The company should produce 2500 phones each week at a price of $250
The maximum weekly revenue is $625000