With the popularity of home improvement shows, Brian has seen a jump in inquiries about kitchen remodels. His business, Kitchen It$,$

employs three designers, each with expertise in architecture and interior design. He offers free quotes to potential clients with a goal

of securing half of the bids for full$-$service work. He then works with general contractors and other vendors to complete the

renovations.

Right now, his designers have no idle capacity. And Brian's hands are full too, so he can't handle hiring another designer to help with

the workload. Given the strong reputation he has earned and the demand for these services, he may have to turn away potential

clients. Select quantitative information is provided below for his business. Time on task refers to design hours. Number of projects

available refers to projects where the client has received the bid and has asked Brian to move forward with the project.

$($b$)$

If his design staff has a total of $5,700$ hours available, how many projects of each size should he take on to maximize profitability?

Given your answer, how many projects will he have to forego? $($If no project of a given size is to be taken or forgone enter O$.$ Do not leave

any field blank.$)$

Large Job

Medium Job

Small Job

Number of projects to take

Number of projects to forego