please answer all the questions with all the steps, and please no hand writing.

An industrial plant needs to make 100,000 parts per month to meet demand. Each month contains 20 working days, each of which allows for 3 separate 8 hour shifts. a. If a worker can produce 10 parts/hour. what is the minimum number of workers needed? b. If material costs are $10/ part, capital costs are $100,000 and labor costs are $10/ hour, what is the multifactor productivity of the plant from part (a)? . 083278 c. Suppose the plant could increase to 120,000 parts per month by increasing capital costs by $15,000 (and no other changes were needed). What would be the new multifactor productivity and percent change (compared to your answer to question b)? Martin Manufacturing has implemented several programs to improve its productivity. They have asked you to evaluate the firm's productivity by comparing this year's performance with last year's. The following data are available. a. What is the percent change in labor productivity this year vs. last year? b. What is the percent change in utilities productivity this year vs. last year? c. What is the percent change in capital investment's productivity this year vs. last? b. What is the percent change in utilities productivity this year vs. last year? c. What is the percent change in capital investment's productivity this year vs. last