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7 February, 18:08

A manufacturer sells two goods, one at a price of $1000 a unit and the other at a price of $16,500 a unit. A quantity q1 of the first good and q2 of the second good are sold at a total cost of $5000 to the manufacturer. (a) Express the manufacturer's profit, π (in thousands of dollars), as a function of q1 and q2.

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  1. 7 February, 21:03
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    manufacturing cost = $16.5 q₂ + $1 q₁ - $ 5

    Explanation:

    given,

    one unit price of first good is = $ 1000

    one unit price of second good is = $ 16500

    quantity of the first good = q₁

    quantity of the second good = q₂

    total cost to the manufacturer = $ 5000

    revenue from good one = $1000 q₁

    revenue from second good = $16500 q₂

    manufacturing cost = total revenue - total manufacturing cost

    manufacturing cost = $16500 q₂ + $1000 q₁ - $ 5000

    but in the question we have to answer in thousands of dollar

    so, divide the result by 1000

    manufacturing cost = $16.5 q₂ + $1 q₁ - $ 5
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