Question

I really need help with this last problem

Answer 1

Answer:

a. p=12*x

b. x=13

c. x=10, 3 fewer

Step-by-step explanation:

a. hat is 12 ea. so profit, p, from selling x hats = 12*x

b. cost=1500

profit > cost to recover

12*x >= 1500

x >= 12.5 but no. of hats sold is integer

x=13

c. new price=15

15*x >= 1500

x >=10

x=10, 3 fewer hats

Answer 2

Answer:

Step-by-step explanation:

a. Profit, p, earned from selling x hats when hat will be sold for $12 each:

p = 12x

b. To recover the cost of making the 200 hats which is $1500, profit, p >= cost:

p = 12x >= 1500

x >= 1500/12 = 12.5

So the minimum number of hats that must be sold = 13

c. New hat price = $15 so p = 15x

p = 15x >= 1500

x >= 1500/15 = 10

So the new minimum = 10 which is 3 fewer.