A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 45 pounds and each large box of paper weighs 75 pounds. There were 3 more small boxes shipped than large boxes and the total weight of all boxes was 1455 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet and the volume of each large box is 20 cubic feet. There were 8 more small boxes shipped than large boxes and the total volume of all boxes was 245 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.

A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 25 pounds each. There are 115 boxes in all. If the truck is carrying a total of 4525 pounds in boxes, how many of each type of box is it carrying?

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 8 granola bars and each large box has 12 granola bars. The camp bought 3 times as many small boxes as large boxes, which altogether had 72 granola bars. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

A paper manufacturer having two mills must supply weekly three printing plants with printingpaper. Mill 1 produces 350 tons of printing paper a week and Mill 2 produces 550 tons perweek. Plant 1 requires 300 tons of paper per week, Plant 2 requires 400 tons and Plant 3requires 200 tons. The shipping costs, in £ per ton, are given in the following table below.Plants1 2 3Mill 1 : 17 22 15Mill 2 : 18 16 12a) Find a feasible solution (shipping schedule) using the Northwest Corner approach and itscost.[4 Marks]b) Formulate the problem as an LP.[5 Marks]c) Consider the following analysis:It costs £1/ton less to supply Plant 1 from Mill 1 instead of Mill 2. However, supplying Plant 2from Mill 2 saves £6/ton, and supplying Plant 3 from Mill 2 saves £3/ton. The greatestrelative savings comes from supplying Plant 2 as much as possible from Mill 2.Following this argument, find the optimum shipping schedule and its cost.

25Wanda needs to buy packages of colored paper. Each package contains 300 pieces of paper. If she buys 11 packages, how many pieces of paper will she buy? A. 3,400 B. 3,190 C. 3,300 D. 3,080