A factory manufactures two kinds of ice? skates: racing skates and figure skates. The racing skates...

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A factory manufactures two kinds of ice? skates: racing skatesand figure skates. The racing skates require 6 ?work-hours in thefabrication? department, whereas the figure skates require 5?work-hours there. The racing skates require 3 ?work-hours in thefinishing? department, whereas the figure skates require 3?work-hours there. The fabricating department has available at most132 ?work-hours per? day, and the finishing department has no morethan 72 ?work-hours per day available. If the profit on each racingskate is $ 6 and the profit on each figure skate is $ 7 comma howmany of each should be manufactured each day to maximize? profit? ?(Assume that all skates made are? sold.) How many of each kind ofskate should be manufactured each day to achieve maximum?profit?
The factory should manufacure ____racing skates and _____figureskates each day.

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