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AN ELECTRIC COMPANY MAKES TWO KINDS OF ELECTRIC RANGES- A STANDARD MODEL WHICH YEILDS A $50.00 PROFIT AND A DELUX THAT YEILDS A $60 PROFIT THE COMPANY CAN PRODUCE UP TO 400 DELUXE RANGES AND 500 STANDARD RANGES PER MONTH BUT BECAUSE OF THE MAN HOUR LIMITATIONS THE COMPANY CAN PRODUCE A COMBINED TOTAL OF NOMORE THEAN 600 RANGES PER MONTH. HOW MANY OF EACH TYPE RANGE SHOULD THE COMPANY PRODUCE PER MONTH TO MAX PROFIT? X= THE # OF THE STANDARD RANGES Y= THE # OF DELUXE RANGESA. THE OBJECTIVE FUNCTION IS:B.THE CONSTRAINTS ARE:

Sagot :

Explanation:

The number of standard ranges is represented as

[tex]x[/tex]

The number of delux ranges is represented as

[tex]y[/tex]

Hence,

The objective constraint will be

[tex]P=50X+60Y[/tex]

The constraints will be given below as

[tex]\begin{gathered} 0\leq X\leq500 \\ 0\leq Y\leq400 \\ X+Y\leq600 \end{gathered}[/tex]

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