4.Lately, the donut shop has been wondering if they should buy two more mixers so that they can double their capacity and hire one more employee.

With these new investments, they will be able to make 520 apple cider donuts and 400 chocolate-glazed donuts, and their new employee will add 3 more hours of possible prep time in the morning(though remember that the first 30 minutes will go to mixing time).

Analyze this situation for them:

a)If this purchase is made, what will the new maximum daily profit be? (Ensure you include all the work associated with this! The feasible region, corner points, etc.)

Remember to change your cost function to account for the new employee (this employee will also work from 4 AM-12 PM).

b)The new mixers cost $2,500 EACH. How long will it take before the additional daily profit pays for the mixers?

c)Should the shop make this investment?

What do you think? You should write a paragraph addressing this question.