A factory wishes to maximize its profit by choosing how many of each of its products to produce every week. The factory cannot produce more than 32 units in total each week. A linear programming problem is formed and the part of the sensitivity report corresponding to this constraint is provided below. If the company could produce 10 more units each week, which of the following can be concluded about the optimal profit? Nam Final Value Shadow Constraint R. H. Allowable Allowable
Price Side Increase Decrease
Total
Production 32 32 90 15.333 8.667
a. Optimal profit increases by 90.
b. Optimal profit increases by 900.
c. Optimal profit increases by 15.3.
d. Optimal profit increases by 153.3.
e. The impact on optimal profit cannot be determined with the given information.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Which of the following would not be listed under cash outflows in a financial plan?

George kyparisis makes bowling balls in his miami plant. with recent increases in his​ costs, he has a newfound interest in efficiency. george is interested in determining the productivity of his organization. he would like to know if his organization is maintaining the manufacturing average of a​ 3% increase in productivity. he has the following data representing a month from last year and an equivalent month this​ year: last year now cost per input unit units produced 1 comma 2001,200 1 comma 2001,200 labor​ (hours) 300300 275275 ​$1212 per hour resin​ (pounds) 5050 4545 ​$55 per pound capital invested​ ($) 10 comma 00010,000 11 comma 00011,000 22​% per month energy​ (btu) 2 comma 9002,900 2 comma 7502,750 ​$0.600.60 per btu the percent change in productivity for one month last year versus one month this year on a multifactor basis with dollars as the common denominator​ = 3.153.15​% ​(enter your response as a percentage rounded to two decimal​ places).