Reference no: EM132968333

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.

                              Type A Rating                  Type B Rating
Shade Tolerance                    1                              1
Traffic Resistance                  2                               1
Drought Resistance                 2                                 5

Problem a. Identify decision variables and formulate mathematical statement of objective function based on decisions variables.

Problem b. Formulate the constraints in terms of the decision variables.

Problem c. Draw the graph with 3 constraint lines and the object line and annotate the graph to identify the optimum.

Problem d. How many pounds of each seed should be in the blend?

Problem e. Which targets will be exceeded?

Problem f. How much will the blend cost?