Question

The productivity of workers at a shoe factory in
pairs of shoes per hour) can be modeled using the
function p(h) = -4h + 5, where h is the number of
hours. If a worker must create at least 3 pairs of
shoes per hour for the company to be profitable,
how long should the worker's shift be?

Answer 1

Answer:

1/2 hour

Step-by-step explanation:

Given the productivity function measured in pairs of shoes per hour ;

P(h) = - 4h + 5

h = number of hours

Number of hours required to create 3 pairs of shoes :

Put P(h) = 3 in the equation :

3 = - 4h + 5

3 - 5 = - 4h

-2 = - 4h

-2/-4 = - 4h/-4

0.5 = h

1/2 an hour = 30 minutes