Pregunta
before it hits the gr
15. Profit function. The profit,
, of a company can
approximated by
, where
is the number of goods sold.
(i) Explain the meaning of " -600 " in the equation.
(ii) How many goods must be sold in order for the company to yield the maximum profit? What is this maximum profit?
15. Profit function. The profit,
(i) Explain the meaning of " -600 " in the equation.
(ii) How many goods must be sold in order for the company to yield the maximum profit? What is this maximum profit?
Ask by Hodges Cross. in Singapore
Jan 22,2025
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Respuesta verificada por el tutor
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- (i) The -600 in the equation represents the company’s fixed costs.
- (ii) Selling 750 goods yields the maximum profit of $27,525.
Solución

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Beyond the Answer
The term “-600” in the profit equation represents the fixed costs incurred by the company, which are the expenses that exist regardless of the number of goods sold. These could include rent, salaries, or other overheads. Essentially, it indicates that the company starts with a loss of $600 before counting any revenue from sales.
To find the number of goods to be sold for maximum profit, we use the vertex of the parabola represented by the equation. The formula for the vertex
value in a quadratic
is given by
. Here,
and
, giving
. Plugging this back into the profit equation gives the maximum profit of
.
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