LINEAR PROGRAMMING: Use the proper Linear Programming procedures to solve each problem. YOU SHOULD BE ABLE TO SHOW ALL REQUIRED STEPS Be sure to include the goal equation, all constraints, the feasible region, and show testing of the vertex points. Only the final answers gets entered on MyOpenMath for this problem:

A graphic design team working for JBJ Systems Incorporated designs magazine covers and also designs logos$.$ The company makes a profit of $$800$ for each magazine cover and $$400$ for each logo$.$ The team manager estimates that it takes her team $6$ hours of brainstorming to create a magazine cover and $1$ hour of brainstorming for a logo$.$ She'd like to keep the total brainstorming time to at most $72$ hours a week. Further, she estimates that it takes her team $8$ hours to lay out and sketch a magazine cover and $5$ hours to layout and sketch up a logo$,$ and she must fit this work into $140$ hours a week. Company policy requires the team to design no more than $4$ logos for each magazine cover that they design.

How many of each should the team design in order to maximize the company's profits?

Solution:

magazine covers and

logos should be designed per week

for a maximum profit of $