3-(15 Points) amming problem whose output follows is used to determine how many

Q: 3-(15 Points) amming problem whose output follows is used to determine how many

from table 1 x1 =8 x2 =0 x3 =17 x4 =33 b) maximum profit from the objective function is 7475 c)using constraint 1 x1+2x2+2x3+2x4 =8+0+2*17+2*33 =108 so, no more space is left d) as shadow price of x1 = 75 so clearly we can stock more of x1 and still have a net profit of 75-55 =$20

ID: 2945984 • Letter: 3

Question

3-(15 Points) amming problem whose output follows is used to determine how many bottles of fire red nail polish (x.), bright red , basil polish (%) s assumed that displav in mi stocked will be sold. Constraint I measures display space in units, constraint 2 measures time to set up the restrictions. Constraint 3 indicates that the maximun the minimum demand combined for bri green nail polish x.) and basic pink nail polish(%) a beauty salon should stock The o every piece stocked will be sold ective function measures profit; e that green nail polish does not require any time to prepare its display. Constraints 3 and 4 are marketing demand for fire red and green polish is 25 bottles, while constraint 4 specifies that ght red, green and pink nail polish bottles is at least $0 bottles. MAX z-100x + 120x, + 150, + 125 Subject to 1. x, +2x,+ 2x, +2x, S 108 2. 3x, +5XXS 120 3.x. + ?, 25 ?,, xg.xs. ?. 2 0 Objective Function Value 7475.000 XI x2 X3 X4 17 Slack/SurlusD 75 Objective Coefficient Ranges 100 120 150 125 87.5 125 120 125 162 150 X4 Right Hand Side Ranges ConstraintLower Limit 108 120 25 50 123.75 100 57 58 54 41.5 a. How many bottles of fire red nail polish, bright red nail polish, basil green polish and pink nail polish should be stocked? b. c. d. What is the maximum profit? According to this solution, is there more space available to display more bottles? If more display space can become available at $55 per unit, should more space be utilized?

Explanation / Answer

from table 1

x1 =8

x2 =0

x3 =17

x4 =33

maximum profit from the objective function is 7475

c)using constraint 1

x1+2x2+2x3+2x4

=8+0+2*17+2*33 =108

so, no more space is left

as shadow price of x1 = 75 so clearly we can stock more of x1 and still have a net profit of 75-55 =$20

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3-(15 Points) amming problem whose output follows is used to determine how many

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