Question

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:

Answer 1

Step-by-step explanation:

The number of standard ranges is represented as

`x`

The number of delux ranges is represented as

`y`

Hence,

The objective constraint will be

`P=50X+60Y`

The constraints will be given below as

`\begin{gathered} 0\leq X\leq500 \\ 0\leq Y\leq400 \\ X+Y\leq600 \end{gathered}`