Lacrosse Unlimited is a company that sells top quality Lacrosse equipment includ
ID: 3217113 • Letter: L
Question
Lacrosse Unlimited is a company that sells top quality Lacrosse equipment including helmet, shafts, heads, and cleats. The company sells these products at $160, $96, $64, and $80, respectively. All of these products use the same three basic materials: plastic, metal, and rubber. The helmet uses 64 units of plastic, 12.8 units of metal, and 38.4 units of rubber. The shaft requires no plastic but does require 51.2 units of metal and 6.4 units of rubber. A head requires 32 units of plastic and 6.4 units each of metal and rubber. Cleats use 44.8 units of plastic, 12.8 units of metal, and 19.2 units of rubber. In order to get a significant discount on raw materials, Lacrosse Unlimited must use more than 96000 units of plastic and 160000 units of metal. However, the company only has 80000 units of rubber and cannot obtain more. How many of each product should be manufactured in order to maximize the revenue? Enter the number of heads to produce. Zero is a possible answer. Answer: __Explanation / Answer
Let w,x,y,z be the number of helmets,shafts,heads,clears
Total Revenue=160w+96x+64y+80z
Units of Plastic used=64w+32y+44.8z<=96000
Units of Metal Used=12.8w+51.2x+6.4y+12.8z<=160000
Units of Rubber Used=38.4w+6.4x+6.4y+19.2z<=80000
Gives, w=1500,x=2750,y=z=0
Hence Total Revenue=504000
Helmets=1500, Shafts=2750, Heads=Cleats=0
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