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A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45 minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix and decorate. In a given day, the bakery has 16 hours of employee time available for food preparation and 3 ovens available for 8 hours each. The bakery makes a profit of $5.50 on each pie and $6.00 on each cake.
a. Let x = the number of pies and y = the number of cakes the bakery makes in a given day. Translate the constraints into a system of linear inequalities.

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Max z=5.5x +6y
subject to
x>=0
and y>=0
45x+30y<=8*3*60
and 20x+40y<=16*60

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