below. Additionally, the flowchart indicates each product's price, weekly demand, and processing times per unit. Batch setup times are negligible. A$.$J$.$ can make and sell up to the limit of its weekly demand and there are no penalties for not being able to meet all of the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $$17$ per hour. The plant operates $40$ hours per week, with no overtime. Overhead costs are $$3,000$ per week. Based on the information provided, as well as the information contained in the flowchart, answer the following questions.

a$.$ Using the traditional method, which bases decisions solely on a product's contribution to profits and overhead, what is the optimal product mix and what is the overall profitability?

The product mix obtained using the traditional method is as follows. $($Enter your responses as whole numbers.$)$

Deluxe: $39$ units$/$week$,$

Super Duper: $74$ units$/$week$.$

This product mix yields a profit of $ $($Enter your response as a whole number.$)$