Question

I have midterms tomorrow, please help

A camera manufacturer spends $2250 each day for overhead expenses plus $6 per camera for labor and materials. The cameras sell for $16 each. How many cameras must the company sell in one day to equal its daily costs? If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?

Answer 1

let's let x = the # of cameras

if it costs $6 per camera, the cost for x cameras is 6*x

additionally, they have a flat cost of 2250 per day

so our daily costs are: 2250 + 6x

now, onto revenue: they sell cameras for $16 each, so revenue is 16x

How many cameras must the company sell in one day to equal its daily costs? ---> set revenue = cost, so 16x = 2250 + 6x and solve for x

If the manufacturer can increase production by 50 cameras per day, what would their daily profit be? ---> take the previous x value, add 50 to that value, let that be the new x value. now, since profit = revenue - costs, profit = 16x - (2250 + 6x), evaluate. make sure you are using the new x value not the old one.

Answer 2

ok thank you so much :)