PLEASE SOLVE USING SOLVER, EXPLAINING YOUR PROCESS.

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A furniture manufacturer produces two types of tables (country and contemporary) using three types of machines. The time required to produce the tables on each machine is given in the following table. Contemporary 2.0 Machine Router Sander Polisher Country 1.5 3.0 2.5 Total Machine Time Available per Week 1,000 2,000 1,500 Country tables sell for $350 and contemporary tables sell for $450. Management has determined that at least 20% of the tables made should be country and at least 30% should be contemporary. a. Select the correct LP model for this problem. Let X1 represent Number of country tables to produce. Let X2 represent Number of contemporary tables to produce I MAX 350X1 + 450X2 II MIN 350X1 + 450X2 ST 1.5X1 + 2x2 5 1,000 ST 1.5X1 + 2x2 0.3* (X1 + X2) X2 2 0.3* (X1 + X2) Xi > 0 Xi 20 Select b. Create a spreadsheet model for this problem and solve it using Solver. How many of each type of table should the company produce if it wants to maximize revenue? Round your answers to two decimal places, if necessary. Country Contemporary C. What is the maximum revenue for the optimal solution? d. How will your spreadsheet model differ if there are 25 types of tables and 15 machine processes involved in manufacturing them? The input in the box below will not be graded, but may be reviewed and considered by your instructor