Question

A manufacturing company monthly cost for making $x$ number of a certain electronic device is given by $C(x) = 1500 + 0.96x + 0.002x^2$. The revenue function for selling $x$ number of the devices is given by $R(x) = 4x - 0.001x^2$. a) Write an expression for the profit function $P(x)$ and explain one condition required to ensure a profit and not a loss.

Name: a manufacturing company monthly cost for making x number of a certain electronic device is given by cx 1500 096x 0002x2 the revenue function for selling x number of the devices is given by r 42912
Uploaded: 2022-01-22T05:44:54-08:00
Duration: 1 min 10 s
Channel: Prashant Bana
Description: a manufacturing company monthly cost for making x number of a certain electronic device is given by cx 1500 096x 0002x2 the revenue function for selling x number of the devices is given by r 42912

          A manufacturing company monthly cost for making $x$ number of a certain electronic device is given by $C(x) = 1500 + 0.96x + 0.002x^2$. The revenue function for selling $x$ number of the devices is given by $R(x) = 4x - 0.001x^2$.
a) Write an expression for the profit function $P(x)$ and explain one condition required to ensure a profit and not a loss.

a manufacturing company monthly cost for making x number of a certain electronic device is given by cx 1500 096x 0002x2 the revenue function for selling x number of the devices is given by r 42912

Added by Thomas F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Prashant Bana

01/22/2022

Step 1

001x^2) - (1500 + 0.96x + 0.002x^2)$ $P(x) = 4x - 0.001x^2 - 1500 - 0.96x - 0.002x^2$ $P(x) = (4 - 0.96)x + (-0.001 - 0.002)x^2 - 1500$ $P(x) = 3.04x - 0.003x^2 - 1500$ Show more…

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A manufacturing company monthly cost for making $x$ number of a certain electronic device is given by $C(x) = 1500 + 0.96x + 0.002x^2$. The revenue function for selling $x$ number of the devices is given by $R(x) = 4x - 0.001x^2$. a) Write an expression for the profit function $P(x)$ and explain one condition required to ensure a profit and not a loss.