Question 5) Computech provides customer support to many computer users. Their business depends on a timely response to their customers" problems. Therefore, their goal is to process as many problem reports as possible each weck. Computech has two qualified staff personnel: Whitney and Dawn, and they are trying to decide how many hours per week each should work. Whitney can process one report per hour, but Dawn works rwice as fast. Asstume that only one person can work in the lab at a given time. The lab can be used for 80 hours per week with a cost of $10 per hour. Company policy is that Whitney must work at least as many hours as Dawn, and Whitney cannot work more than 60 hours in a week. Every hour that Whitney works, the company makes \$16, and every hour that Dawn works, the company makes $6. Computech wants to net at least $150 per week, considering the cost of the lab and the revenue from personnel. Given these limited resources and requirements, the linear program that achieves the goals of Computech and the sensitivity analysis reports are presented on page a) Suppose Dawn could only process 1.5 reports on average per hour. How does the optimal solution change? How does the objective function value change? b) Suppose that Whitney can now process 3 reports per hour. How does the optimal solution change? How does the objective function value change? c) Suppose that Whitney started to destroy two reports per hour! How does the optimal solution change? How does the objective function value change? d) Suppose that Computech can keep the lab open for an additional 20 hours per week. Should they follow through? Explain using quantitative reasoning. e) Suppose that Computech now required a cash flow of at least $200 per week. How does that affect the personnel schedule? How many reports will be processed? Question 5) Computech provides customer support to many computer users. Their business depends on a timely response to their customers" problems. Therefore, their goal is to process as many problem reports as possible each weck. Computech has two qualified staff personnel: Whitney and Dawn, and they are trying to decide how many hours per week each should work. Whitney can process one report per hour, but Dawn works rwice as fast. Asstume that only one person can work in the lab at a given time. The lab can be used for 80 hours per week with a cost of $10 per hour. Company policy is that Whitney must work at least as many hours as Dawn, and Whitney cannot work more than 60 hours in a week. Every hour that Whitney works, the company makes \$16, and every hour that Dawn works, the company makes $6. Computech wants to net at least $150 per week, considering the cost of the lab and the revenue from personnel. Given these limited resources and requirements, the linear program that achieves the goals of Computech and the sensitivity analysis reports are presented on page a) Suppose Dawn could only process 1.5 reports on average per hour. How does the optimal solution change? How does the objective function value change? b) Suppose that Whitney can now process 3 reports per hour. How does the optimal solution change? How does the objective function value change? c) Suppose that Whitney started to destroy two reports per hour! How does the optimal solution change? How does the objective function value change? d) Suppose that Computech can keep the lab open for an additional 20 hours per week. Should they follow through? Explain using quantitative reasoning. e) Suppose that Computech now required a cash flow of at least $200 per week. How does that affect the personnel schedule? How many reports will be processed