Bulldog, Inc. is a Texas-based audio equipmentmanufacturer. It produces two kinds of audio speakers. The firstkind is a bookshelf speaker, called BSS. The other kind is a floorspeaker, called FLS.

Both BSS and FLS use cherry wood for speaker body structure.Each BSS uses 2 sheets of cherry wood and each FLS uses 5 sheets ofcherry wood for production. Each month Bulldog,Inc. has 600 sheets of cherry wood available forproduction.

According to its metropolitan user survey, most people preferBSS due to its compact size. Bulldog, Inc. wantsBSS’s monthly production to be at least 120 units. SinceBulldog, Inc. only has one warehouse, its totalcombined production of BSS and FLS cannot exceed 255 units.Currently each BSS can bring in $150 as unit profit and each FLScan bring in $300 as unit profit. Bulldog, Inc.wants to find a production mix for BSS and FLS to maximizeBulldog, Inc. monthly profit.

1) Formulate this problem as a linear program.

2) Solve this linear program graphically for the optimalsolution. Report the optimal solution.

3) What is the profit generated by using the above optimalsolution?

After you finish the above problem, you received a memo from theBulldog, Inc. sales manager. According to theongoing promotion event, the revised unit profit is now $100 forBSS and $400 for FLS based on the new marketing information.

4) What will be your modified optimal solution based on theinformation from the sales manager?

5) What is the modified profit?