The number of units of a product demanded each month is a linear function of the...

The number of units of a product demanded each month is a linear function of the selling price of the item. At a selling price of $10, 400 units of the product are demanded each month, and 100 units of the product are demanded each month at a selling price of $25 per item. The company that produces the product has monthly fixed costs of $1000 and each unit costs the company $4 to produce.

Write an equation for the number of units of a product demanded each month, q, in terms of the selling price of the item, p.
Write an equation for the monthly revenue of this company as a function of the selling price of the product, p.
Find the maximum monthly revenue for this company.
Determine the monthly demand when the monthly revenue is maximized.
Write a monthly cost equation for this company as a function of the selling price of the product, p.
At what selling price(s) will the company break even?

no calculus please!

Solutions

Expert Solution

Since you have not to use calculus i have used quadratic equations to solve the question last part.

The formula is very easy and i have written the formula while solving it but feel free to search more on it.

In the 3rd page the fixed cost is 1000 i have corrected it but in case you could not understand.

Hope it helps you.

All the best ?

ekkarill92 answered 2 years ago

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