Question $4$A:

The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated $($per pound$)$ according to its shade tolerance,

ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $$1$ and Type B seed costs $$2.$ If the blend needs to

score at least $300$ points for shade tolerance, $400$ points for traffic resistance, and $750$ points for drought resistance,

show all your calculations on paper, take a picture, convert to pdf$,$ and upload.

Upload your excel file if applicable.

a$.$ Identify decision variables and formulate mathematical statement of objective function based on decisions variables. $(3$ marks$)$

b$.$ Formulate the constraints in terms of the decision variables. $(6$ marks$)$

c$.$ Draw the graph with $3$ constraint lines and the object line and annotate the graph to identify the optimum. $(4$marks$)$

d$.$ How many pounds of each seed should be in the blend? $(2$ marks$)$

e$.$ Which targets will be exceeded? $(1$ mark$)$

f$.$ How much will the blend cost? $(1$ mark$)$

Please take a picture of all your hand writings and the detail of your work and upload here.

Upload all your excel files showing your work here if you have not done so in the previous questions.