For question 6, formulate the LP and solve using the simplex method. (The LP is given)

How is the LP information wrong?

Number 6 asks for an LP but it gives it to you. I do not know why it asks for it.

6. The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 12 hours of labor and 16 pounds of wood available each day. Demand for chairs is limited to 3 per day. Each chair requires 2 hours of labor and 3 pounds of wood to produce, while a table requires 4 hours of labor and 2 pounds of wood. The profit derived from each chair is $40 and from each table, $30. The company wants to determine the number of chairs and tables to produce each day to maximize profit. (10 points) X1 = # of chairs, X2 = # of tables Max Z= $40 X1 + $30 X2 2 X1 + 3 X2 = 0 7. The Morris family owns 210 acres of farmland in North Carolina on whi they grow corn and cotton. Each acre of corn costs $225 to plant, cultivate, and harvest; each acre of cotton costs $400. The Morris has a budget of $105,000 for next year. The government limits the number of acres of cotton they can plant to 100. The revenue from each acre of cotton is $625 and $375 for each acre of corn. How many acres of each crop should they plant in order to maximize profit? Form L.P., in Standard and Canonical form and then solve using the simplex method. (10 points) For each of the following LPs, solve using the simplex method. 8. (10 points) Min Z=4X1 + 2X2 ST: 3X1 + X2 > 6 X1 + X2 4 X1,X2 > 0 9. (10 points) Min Z=4x1 + 5x2 ST: X1 + 2X2 > 5 6X1 + 6X2 > 18 X1,X2 > 0