h = hours worked in day
t = set-up time
s = speed
c = unit cost
p = unit price
Profit generated = Units produced × Profit per unit
= (h-t) × s × (p-c)
Profit for A = (h-4) × 3 × (5-3.5)
= 4.5(h-4)
Profit for B = (h-5) × 1 × (12-5)
= 7(h-5)
There is a day length at which profit is equal for either product, when:
4.5(h-4) = 7(h-5)
I don't know how to go further with this equation in order to find h. I know that the answer is:
2.5h = 17
h = 6.8
but I don't understand how to get from
4.5(h-4) = 7(h-5) to
2.5h = 17
t = set-up time
s = speed
c = unit cost
p = unit price
Profit generated = Units produced × Profit per unit
= (h-t) × s × (p-c)
Profit for A = (h-4) × 3 × (5-3.5)
= 4.5(h-4)
Profit for B = (h-5) × 1 × (12-5)
= 7(h-5)
There is a day length at which profit is equal for either product, when:
4.5(h-4) = 7(h-5)
I don't know how to go further with this equation in order to find h. I know that the answer is:
2.5h = 17
h = 6.8
but I don't understand how to get from
4.5(h-4) = 7(h-5) to
2.5h = 17