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Bakery Products. TheMill Avenue Bakery packages its products in three sizes: one-half-pound, one-pound, and twopound packages. In determining the total weight of the bakery’s products loaded on a delivery truck, let x1 denote the number of one-half-pound packages, x2 the number of one-pound packages, x3 the number of two-pound packages. Let y denote the total weight of bakery packages on the truck.
a. Obtain the equation that expresses y in terms of x1, x2 and x3.
b. Find b0, b1, b2 and b3.
c. What is the change in the total weight for an increase of one two-pound package, provided the number of one-halfand one-pound packages does not change?
d. Find the total weight of the bakery’s product on the delivery truck if there are 100 one-half-pound packages, 200 onepound packages, and 30 two-pound packages.
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- Find the total weight of three items that weigh: 1 2 2 8- kg, 7 kg, and 3 kg. 4 4 7 kgarrow_forwardA middle school has a student to teacher ratio of 15 to 1. This middle school feeds into a high school that currently has 138 students and 7 teachers. If the high school would like to maintain the student to teacher ratio of the middle school, what would they need to do? Fire 9 teachers Fire 2 teachers Hire 2 teachers Fire 5 teachers Hire 9 teachersarrow_forwardLaura is planning to buy three 5-lb bags of sugar, six 5-lb bags of flour, three 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A = Sugar (5-lb bag) $3.15 $2.99 $3.74 B = Flour (5-lb bag) $3.79 $2.89 $2.98 Supermarket I Supermarket II Supermarket III (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. Milk (1-gal carton) $2.99 $2.79 $2.89 C = Eggs (1-dozen carton) $3.49 $3.29 $2.99 (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.arrow_forward
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