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.

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 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 company produces batches of 1,500 units. Each batch requires 60 machine hours. The overhead is applied at a rate of $30 per machine hour. If the direct materials cost $3,000 and the direct labor costs $2,700 per batch, what is the total cost of the batch and the cost per unit?Question 17Answera.Total cost: $7,500, Cost per unit: $5b.Total cost: $7,200, Cost per unit: $4.80c.Total cost: $6,000, Cost per unit: $4d.Total cost: $6,500, Cost per unit: $4.33

A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)$

The unbalanced transportation problem where the total supply exceeds total demand is the case where: In a transportation problem with three locations and two destinations, the objective function is as follows: Min 20X11 + 18X21 + 23 X31 + 16X12 + 14X22 + 12X32. How much does it cost to ship one unit from location 2 to destination 1?