Question

I'm having trouble figuring out the constraints to this problem. I know that I am maximizing 55x + 45y, however the variables are throwing me off. I only need help on question #1 as it would be a great help to understanding the rest of what the questions are asking. The problem is as follows:

NorCal Outfitters manufactures a variety of specialty gear for outdoor enthusiasts. NorCal has decided

to begin production on two new models of crampons: the Denali and Cascade. The company produces

crampons by first stamping steel sheets into the rough design, then assembling the base crampon with

toe and ankle straps. NorCal’s manufacturing plant has 120 hours of stamping time and 80 hours of

assembly time assigned for producing these crampons.

Each set of Denali crampons requires 30 minutes of stamping time and 25 minutes of assembly time,

and each set of Cascade crampons requires 25 minutes of stamping time and 15 minutes of assembly

time. The labor and material cost is $15 and $10 for each set of Denali and Cascade crampons,

respectively. NorCal sells crampons through wholesale distributors for $55 for the Denali model and $45

for the Cascade model. The V.P of Production at NorCal believes that the Denali model, recently

featured in Outside Magazine, could become a bestseller and has determined that at least 60% of the

crampons produced by NorCal should be the Denali model.

1. Solve this problem using the graphic solution technique.

Answer 1