Hello

Please i need the answers for these problems.

Problem 1 Five items might be loaded in a truck. The weight wi, volume vi, and value r, for item i are tabulated below. The maximum allowable cargo weight and volume are 9 tons and 16 m, respectively. Formulate an IP model to maximize total worth. w 4 Item i Weight, wi (tons) Volume, vi (m) 1 2.5 1 2 8 3 1.5 4 1 5 5 3.5 4 Worth, n ($) 4 7 6 5 4 6 Problem 2 AE company produces two types of tablets: AE11 and AE07. The AEll uses two of the 4GB memory and no external storage, whereas the AE07 uses one 4GB memory and one external 8GB storage. Both models come with A8 processor. Supplier can provide AE company with 1000 units of 4GB memory, 500 units of 8GB external storage, and 600 units of A8 processor on a weekly basis. It takes one hour to manufacture an AE11 tablet and one-and-a-half hours to manufacture an AE07 tablet. The AE11 and AE07 yield $200 and $500 of profit, respectively. The company has four goals: Goal 1: Meet a contract of 200 AE11 tablets weekly. Goal 2: Make at least 500 total tablets weekly. Goal 3: Use no more than 400 man-hours weekly. Goal 4: Make at least $250,000 weekly. Formulate a goal program to meet these four goals. Note that each $1000 under the profit goal is five time as important as an extra man-hour. TORT 2 Your company has decided to purchase sew desk chairs for its 80 employees after discovering they have a hudget suplus. The table below gives both the unit price of a chair, as well as the minimalis number of choirs that must be purchased to qualify for that price. c Unit prie Min. order A 500 1 B 450 7 D 425 10 How can the company minimize the cost of buying everyone new chains If in addition to the unit cool per chair, cach supplier applies a fired shipping charge how the model com Problem A Bandicaping company plans to bid for the job of providing flowers for city parks. The proposed job will use tulips, daffodils, and flewering shrubs in three types of layouts. A type I layoulies 30 tulips, 20 daffodils, and 4 flowering shrubs. A type 2 layout uses 10 tulip, 40 daffodils and 3 Rowering shrubs, Atype 3 layout uses 20 tulips, so daffodil, and 2 newering shrubs. The net profit is ss for each type 1 layout, $30 for each type 3 Layout and so for each type 3 layout. The company has 1.000 tulips, wo daffodils and 100 nowering the available. Additionally, the number of type I layouts cannot exceed the number of type 2 layouts, and there must be at least five Layouts of each type. All available plants can be wed. Formulate an integer program that determines how many layouts of each type to include in the bid with the objective of maximizing profit Problems Alma and Elena we the production managers for the Artice Corporation, which produces three types of spare parts for tomobiles. The manufacture of each port requires processing on each of two machines, each machine is wailable for 40 hours per month, with the following processing times in how Machine Part A C 001 OOS 0.05 004 350 540 500 Each part mature will yield a unit ofits shown in the table. Alma and Elena want determine the of spare parts to produce to maximise to profit. Formulate a mathematical og model for this problem Problem 6 Consider the following IP problem: Max : - 8x1 +5X2 Subject to x1 + x2 36 9x1 +5 x2