A company specializes in making toy cars. It makes three types of toy cars, Toy Car $A$, Toy Car $B$

Question

A company specializes in making toy cars. It makes three types of toy cars, Toy Car $A$, Toy Car $B$ and Toy Car $C$. The amount of materials required (in units) for each type of car is given below:

	Plastic	Rubber	Metal
Toy Car ${A}$	${2}$	${1}$	${1}$
Toy Car ${B}$	${3}$	${4}$	${5}$
Toy Car ${C}$	${1}$	${3}$	${4}$
Total amount of material available:	${200}$	${150}$	${170}$

If the company makes a profit of $\$1$ , $\$2$ and $\$3$ from the sale of each Toy Car $A$, $B$ and $C$ respectively, find the maximum profit you can make given that all the materials are used.[4]

Accepted Answer

$\$$ ${150}$

	Plastic	Rubber	Metal
Toy Car \({A}\)	\({2}\)	\({1}\)	\({1}\)
Toy Car \({B}\)	\({3}\)	\({4}\)	\({5}\)
Toy Car \({C}\)	\({1}\)	\({3}\)	\({4}\)
Total amount of material available:	\({200}\)	\({150}\)	\({170}\)

2008 CJC P1 Q1 [Modified]

2008 CJC P1 Q1 [Modified]

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