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G$12$ SUMPRODUCT$($$E$$6$:$F$$6,$E$12$:F$12)$

A

$1$ Lawn Grow Manufacturing Company must determine the mix of its commercial riding mower products to be produced next year.

The company produces two product lines, the Max and the Multimax. The average profit is $$400$ for each Max and $$800$ for each Multimax.

Fabrication and assembly are limited resources. There is a maximum of $5,000$ hours of fabrication capacity available per month $($Each Max requires $3$ hours and each Multimax requires $5$ hours$).$ There is a maximum of $3,000$ hours of assembly capacity available per month $($Each Max requires $1$ hour and each Multimax requires $4$ hours$).$

How many of each riding mower should be produced each month in order to maximize profit?