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Given the revenue and cost functions R = 26x - 0.3x2 and C = 3x +...

Given the revenue and cost functions R = 26x - 0.3x2 and C = 3x + 10, where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 7 units per day per day.

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Answer #1

Given:

Given the revenue and cost functions

R = 26x - 0.3x2 and

C = 3x + 10, where x is the daily production.

The rate of change of production is 7 units per day per day.

dx/dt = 7 uniits per day

To find : The rate of change of profit with respect to time when 20 units are produced.

Therefore the rate of change of profit with respect to time when 20 units are produced is $77 per day

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