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An electronics manufacturer can produce and sell x MP3 players per week. The total cost C (in dollars) of producing MP3 players is C = 93c + 35,000, and the total revenue R (in dollars) is R = 135x.

1. Find the profit P in terms of x.
2 find the profit obtained by selling 5000 MP3 players per week.

Respuesta :

Profit, or the surplus money after your costs are covered, is Revenue - Costs.

so in this case the profit P(x) = R(x) - C(x).


[tex]\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000 \\\\\\ P(x)=42x-35000 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000 \\\\\\ P(5000)=175000[/tex]

1. The profit P in terms of x is 135x - 93x - 35,000

2. The profit is 175,000.

  • The calculation is as follows:

1. The profit P should be

p(x) =  135x - 93x - 35,000

2. Now the profit should be

P(5,000) = 135x - 93x - 35,000

= 42x - 35,000

= 42(5000) - 35000

= 210,000 - 35,000

= 175,000

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