The committee decided to build unique features in the city planning. - A rectangular plaza in the Residential infrastructure area. - A monument in the Commercial zone. - A water fountain in the Green space. The quantity surveyor of the project closely analysed your designs and estimated the following amounts of resources and unit costs. Cement Gravel Sand (cubes) Machinery Labour (sacks) (cubes) (units) (people) Rectangular plaza 100 70 50 2 15 Monument 20 8 12 1 7 Water 18 10 10 15 1 8 fountain Estimated unit costs: - Cement $9 p/sack - Gravel $90 p/cube - Sand $120 p/cube - Machinery $350 p/hr - Labour $35 p/hr Labour is expected to work for 8 hrs per day for all five weekdays and on Saturday. On Saturdays, labour will be paid an extra $25 per hour. Machinery will be hired on weekends at an extra cost of $ 100.

The committee decided to build unique features in the city planning. - A rectangular plaza in the Residential infrastructure area. - A monument in the Commercial zone. - A water fountain in the Green space. The quantity surveyor of the project closely analysed your designs and estimated the following amounts of resources and unit costs. Cement Gravel Sand (cubes) Machinery Labour (sacks) (cubes) (units) (people) Rectangular plaza 100 70 50 2 15 Monument 20 8 12 1 7 Water 18 10 10 15 1 8 fountain Estimated unit costs: - Cement $9 p/sack - Gravel $90 p/cube - Sand $120 p/cube - Machinery $350 p/hr - Labour $35 p/hr Labour is expected to work for 8 hrs per day for all five weekdays and on Saturday. On Saturdays, labour will be paid an extra $25 per hour. Machinery will be hired on weekends at an extra cost of $ 100.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A. The Walters manufacturing Company has three types of sheds that it produces (Type 1, Type 2, and Type 3). Producing each type of shed requires different amounts of time for stamping, painting, and packaging (see table). The Walters Company has a maximum of 3200 hours for stamping, 1700 hours for painting and 1300 hours for packaging during each production cycle. Hours Required for Each type of Shed Туре 3 4 Department Stamping Painting Packaging Туре 1 Туре 2 1 1 1 1 2 1. Write an augmented matrix that will allow Walters Company to determine the number of each type of shed they should produce that would exactly use all of the time available in each department. 2. Solve the system, write the final reduced row echelon form of the augmented matrix below. You may solve by hand, or use a calculator to solve the matrix.
Please solve and show all work.
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Please do Part B and C and please show step by step and explain