3.1 c0nstrains

An accounting firm has 1526 hours of staff time and 318 hours of reviewing time available cach week. The firm charges $250 for an audit and $50 for a tax return. Each audit requires 84 minutes of staff time and 12 hours of review time. Each tax return requires 14 minutes of staff time and 6 hours of review time. The firm cannot do more than 6 audits per week due to policy. Additionally, they need to do at least 4 tax returns for each audit. What number of audits and tax returns will yield the maximum revenue? a. Identify and clearly define the variables needed to solve the linear programming problem. 1:= number of audits y := number of tax returns R:= total amount of revenue b. Objective function: (Hint: Your equation must be written in the form M=, where the variable you are maximizing or minimizing is on the left side of the equal sign.) maximize R=250x + 50y c. Subject to: (Hint: Write the constraints line by line. Separate the non-negativity constraints with commas) 84x + 14y