Question 4A: The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per

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Question 4A:
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.
Type A
Rating
Type B
Rating
Shade Tolerance
1
1
Traffic Resistance
2
1
Drought Resistance
2
5
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. (4marks)
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)