a bakery is making whole wheat bread and apple bran muffins. For each batch of bread they make $35 profit. For each batch of muffins, they make $10 profit. The bread takes 4 hours to prepare and 1 hour to bake. The muffins take .5 to prepare and .5 to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. How many batches of bread and muffins should be made to maximize profits?

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Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.