I'm having trouble figuring out the constraints to this problem.I know that I am maximizing 55x + 45y, however the variables arethrowing me off. I only need help on question #1 as it would be agreat help to understanding the rest of what the questions areasking. The problem is as follows:
NorCal Outfitters manufactures a variety of specialty gear foroutdoor enthusiasts. NorCal has decided
to begin production on two new models of crampons: the Denaliand 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 hoursof stamping time and 80 hours of
assembly time assigned for producing these crampons.
Each set of Denali crampons requires 30 minutes of stamping timeand 25 minutes of assembly time,
and each set of Cascade crampons requires 25 minutes of stampingtime and 15 minutes of assembly
time. The labor and material cost is $15 and $10 for each set ofDenali and Cascade crampons,
respectively. NorCal sells crampons through wholesaledistributors for $55 for the Denali model and $45
for the Cascade model. The V.P of Production at NorCal believesthat the Denali model, recently
featured in Outside Magazine, could become a bestseller and hasdetermined that at least 60% of the
crampons produced by NorCal should be the Denali model.
1. Solve this problem using the graphic solution technique.
