A manufactor of ice skates can produce as many as 60 pairs of hockey skates as many as 45 pairs of figure skates per day. It takes 3 hr of labor to produce a pair of hockey skates and 4 hr of labor to produce a pair of figure skates. The company has up to 240 hr of labor available for ice skate production ecah day. If the profit is $12 on each pair of hockey skates and $18 on each pair of figure skates, find the number of pairs of each kind of skate the firm should produce to gain the maximum profit each day.
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a) If x represents the number of pairs of hockey skates and y represent the number of pairs of figure skates that are produced daily, what is the daily profit on both kinds of skates?
a) P= 12x + 18 y
What about this one:
b) What condition, in terms of x and y, does the maximum of 240 hr of labor available for production each day impose?