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.

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

2. The profit is 175,000.

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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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).

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step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.