I hope this helps you
Can someone please help me with this?
2 answers:
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Answer:
b. 1,900 mountain bicycles, 0 racing bicycles and 0 touring bicycles to maximize profit
c. $41,800
d. 1,200 units of aluminium is left over
Step-by-step explanation:
a. Let:
x= Number of racing bikes,
y= Number of touring bikes and
z = Number of mountain bikes
Constraints are;
17x+19y+34z<=64600
9x+21y+12z<=24000
x>=0
y>=0
z>=0
b. Maximize P = 8x+12y+22z
Subject to;
17x+19y+34z<=64600
9x+21y+12z<=24000
with x>=0 ; y>=0 ; z>=0
applying simplex method (see attachment);
z=1900 ; x=0; y=0; P=41,800 ; s₁=0 ; s₂=1200
b. The manufacturer are to make 1,900 mountain bicycles, 0 racing bicycles and 0 touring bicycles to maximize profit
c. Maximum profit is $41,800
d. no steel is leftover while 1,200 units of aluminium is left over.
