OM$-$HW ASSIGNMENT: LINEAR PROGRAMMIN $(20$ pts$.)$

Note: You are expected to complete this HW Assignment directly through the CANVAS to get a full credit.

Name:

$\_\_01.$ Which of the choices below constitutes a simultaneous solution to these equations? $(2$ pts$.)$

$(1)4x+3Y=12$ and

$(2)2x+4Y=8?$

$\_\_02.$ What combination of $x$ and $Y$ will yield the optimum for this problem? $(3$ pts$.)$

Maximize $Z=$$$10x+$$$50Y$ subject to: $(1)3x+4Y12$ and $(2)2x+5Y10.$

$\_\_03.$ What combination of $x$ and $Y$ will provide a minimum for this problem? $(3$pts$.)$

Minimize $Z=x+5Y$ subject to: $(1)4x+3Y12$ and $(2)2x+5Y10$

$\_\_04.$ For the constraints given below, which of the following coordinates of a point is in $($within$)$

the feasible solution space of this maximization problem? $(4$ pts$.)$

$(1)x1+x25$

$(2)2x1+2x24,$

$(3)3x1-2x26$

$(4)x22$

a$.x1=2\mathrm{.}0,x2=3\mathrm{.}0$

b$.x1=3\mathrm{.}0,x2=5\mathrm{.}0$

c$.x1=4\mathrm{.}0,x2=1\mathrm{.}0$

d$.x1=2\mathrm{.}0,x2=1\mathrm{.}0$

e$.$ None of the above

$\_\_05.$ What combination of $x$ and $Y$ will yield the optimum for the is L$.$P$.$ problem $(4$ pts $)?$

Maximize $Z=2x+Y,$ subject to: $(1)x+Y3$; $(2)x-2Y2$; and $(3)x2$

$\_\_06.$ Consider the graphic L$.$P$.$ problem below: Max$(Z)=$$$40x+$$$10Y$

subject to: $(1)x+2Y4$ and $(2)$ $$5x+2Y10$

What is the possible maximum profit from this linear programming problem? $(4$ pts$.)$