The following LP formulation and QM output represents a problem whose solution will tell a specialty

retailer how many of four different styles of umbrellas to stock in order to maximize profit. It is assumed

that every umbrella stocked will be sold. The variables, objective function, and constraints are given

below.

$x_1-$ Number of women's umbrellas

$x_2-$ Number of golf umbrellas

$x_3-$ Number of men's umbrellas

$x_4-$ Number of folding umbrellas

Maximixe $,Z=4x_1+6x_2+5x_1+3\mathrm{.}5x_4$

Subject to: $,2x_1+3x_2+3x_3+x_{4}120$

$1\mathrm{.}5x_1+2x_2$

$2x_2+x_2+x_{4}72$

$x_2+x_3$

$x_1,x_2,x_3,x_1\frac{3}{n}$

$[$storage space$]$

$[$special display racks$]$

$[$demand$]$

$[$marketing restriction$]$

Global optimal solution found.

Objective value:

Infersibilities: $318\mathrm{.}0000$

Total solver iterations: $0\mathrm{.}000000$

Elapsed suntime seconds:

$0\mathrm{.}10$

Mode$1$ Class:

IP

Total variablea:

Nonlinear pariables:

Integer variables:

Total conatraints:

Nonlinear constraints:

$5$

$0$

Total acreserse:

Nonlinear BQRGerse: