Question

Ben's Bicycle Helmets makes bicycle helmets at a cost of 3000+ 12x dollars per month to produce x helmets. They sell the helmets for $21 each. 1. Determine the cost to produce 500 helmets. 5. Identify the break-even point. 6. Will Ben's Bicycle Helmets earn a profit by selling 500 helmets a month? Justify your response​

Answer 1

• y=3000+12x

Find cost of x=500 helmets

• y=3000+12(500)
• y=3000+6000
• y=$9000

Break even point

• 9000/500=18

So

There is profit as its less than 18

Answer 2

#1

The cost to produce 500 helmets:

• 3000 + 12*500 = 9000

#5

The break-even point is the price when profit is zero:

• $9000/500 = $18

#6

There will be a profit as the selling price is greater than the break even point:

• $21 > $18