Questions 1 through 4 refer to the following sensitivity report (the report shows profits, not costs): Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient !no...

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Questions 1 through 4 refer to the following sensitivity report (the report shows profits, not costs):
Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient !no ease Decrease $8$3 Caps 0 -L193 3 1,298 1e00 $CS3 Jackets 318519 0 6 LOC 1.617 SIDS3 Shirts 98.765 5 4 0.765
Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease %SS cotton 1003 2.963 WOO 133.333 466.667 SES6 leather 227.160 0 1700 1E00 972.810 $E-S7 notions 2000 0.321 2000 1007.673 235.294
1. What is the • - • inal value of one more unit of cotton? Of leather? Ng...L., 40y PI,( r•".• .1- of rozi44 r tS : . 2. A local distributor has offered to sell you an additional 1000 sewing notions (these are zippers, buttons, etc) for $0.10 per notion more than it ordinarily pays. Should the company buy the notions at this price? If you think they should buy , them, what is the total profit the company would make?, • ( 7.34-03 fx,-.41-4 cl o.,-uor4 40.00'..1ge /77 $3140s ok p4.' 6, -3 f,..L4.•-t C =4-.0i e Jr.; 3et_•-• %.to 3. If the per-un on Jackets decreases to15, what Is optimo product mix and wha " the company's total profit? Yte ,,..„, i, 96 ,Le. 09 oir-
4. What must th mum per-unit profit of caps be in order to make them worth o produce?


Answered Same DayDec 21, 2021

Answer To: Questions 1 through 4 refer to the following sensitivity report (the report shows profits, not...

Robert answered on Dec 21 2021
125 Votes
Answer 1:
Shadow price: The increase in profit for one additional unit of a binding constraint.
N
on-binding constraint has zero shadow prices.
The shadow price and marginal cost is one and the same. From the sensitivity report above we can
find that marginal cost of cotton is 2.063 and marginal cost of leather is 0.
Answer 2:
The shadow price is 0.321 so the company earns 0.321 additional on each notion, so buying 1000
sewing notions will add revenue by 0.321*1000 = $321. The cost of these notions...
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