A camera manufacturer spends $1500 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $15 each. How many cameras must the company sell in one day to equal its daily cost? If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?

The company must sell 250 cameras in a day to equal its daily cost.

If the manufacturer can increase production by 50 cameras per day, then the daily profit will be $300.

Step-by-step explanation:

A camera manufacturer spends $1500 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $15 each.

So, the daily cost for manufacturing x cameras is 1500 + 9x.

Now, the cameras sell for $15 each.

So, the selling price for x cameras is 15x.

If the cost and selling price of x cameras in a day are the same, then

1500 + 9x = 15x

⇒ 6x = 1500

⇒ x = 250

Therefore, the company must sell 250 cameras in a day to equal its daily cost. (Answer)

Now, if the daily production increases by 50 cameras, then there will produce (250 + 50) = 300 cameras daily.

In that case profit of the company will be

15x - [1500 + 9x]

= 15 * 300 - [1500 + 9 * 300]

= $300 (Answer)