Answer:
To maximize profit the company will have to produce 30 bicycles and 60 tricycles
Step-by-step explanation:
yes this is a linear programming program
let us represent bicycles as x
and tricycles as y
the objective function is
maximize
17x+21y=P
constraint
20m+30n=90
"At most twice as many tricycles as bicycles can be made in a day"
so n=2
let us find x when the company produces maximum y
so we have to substitute y=2 in the constraint
20m+30(2)=90
20m+60=90
divide through by 10 we have
2m+6=9
2m=9-6
2m=3
divide through by 2 we have
m=1.5
we can now see that at maximum
the company produces
tricycles=20m
tricycles=20(1.5)
tricycles= 30
and
bicycles= 30m
bicycles= 30(2)
bicycles= 60
now let us substitute x=30 and y =60 in the objective function we have
17(30)+21(60)=P
510+1260=P
P=$1770
