Asked by Mesh

A factory produces x calculators per day. The total daily cost in Shillings incured is 5x^2-800x+500. If the calculators are sold for sh (100-10x) each,
i, Determine the profit function
ii, Find the number of calculators that would maximize the daily profit
iii, What is the daily maximum profit?
Answered by Reiny
profit = revenue - expenses

P(x) = x(100-10x) - (5x^2 - 800x + 500)
= 900x - 15x^2 - 500

P ' (x) = 900 - 30x
= 0 for a max of P
30x=900
x=30

P(30) = 13000
Answered by mesh
Reiny thanks did not see the answer
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