profit = revenue - cost
revenue = price * quantity
profit is thus
y = x(-0.05x+502) - (0.000003x^3-
0.05x^2+400x+80000)
y = 0.000003x^3 + 102x + 80000
y' = -0.000009x^2 + 102
y'=0 when x = 3366
The weekly demand for the Pulsar 25-in. color console television is given by the demand equation
p=-0.05x+502 (0(less than or equal too)x(less than or equal too)12,000)
where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by
c(x)=0.000003x^3-0.05x^2+400x+80,000
where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula. (Round your answer to the nearest whole number.)
? units
2 answers
how did you get 3366?
1 answer