The weekly profits of a Company A is determined by multiplying the number of units sold by the cost per unit. The company sold 2000 units one week at a price of $10 per unit. For each $5 increase in cost per unit, the company sells 10 fewer units.

The weekly profits of Company B is represented by y.

What quadratic inequality represents a week where the profits of Company B is less than Company A?

The weekly profits of a Company A is determined by multiplying the number of units sold by the cost per unit The company sold 2000 units one week at a price of class=


Answer :

The correct weekly profit of company B as represented by quadratic  inequality is as below:

y≤−50x2+19950x+20,000 y less than or equal to negative 50 x squared plus 19950 x plus 20,000

What is the initial weekly profit?

The initial weekly profit is determined as the initial price of $10 multiplied by 2,000 units sold in one week.

However, a change in price by $5, I mean an increase of $5 means that the quantity sold falls from 2,000 units to 1,990 units, however, it is evident that volume falls but the profit would increase the increase in profit by $5 on 1,990 units is more than the decrease in sales revenue by 10 units, hence, the quadratic equation should have an equal to sign and less than not just less than.

Profit after decrease of 10 units=1990*($10+$5)

Profit after decrease of 10 units=$19,950(the option that $19,950 and > or = signs is correct)

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