Identify if the given linear programming problem is a standard maximization problem.  If it is a standard maximization problem, then express the constraints as slack variable equations, write the objective function in standard form, and set up the initial simplex tableau.  If it is not a standard maximization problem, then explain all the reasons why it is not and type NA (or Not Applicable) in the remaining boxes. Maximize: P=100x+200y+50z subject to: 5x+5y+10z≤1000 10x+5y≤50 0≤x, 0≤y, 0≤z

Hugh and his partners grow tomatoes exclusively. Although they grow many varieties, tomatoes are all that they produce for leading supermarket chains in the UK. Should they diversify into related products such as lettuce? Write a summary report, focusing on the objective function, constraints, and decision variables that are used for Linear Programming. L for box for lettuce T for box of tomato

Use Excel to solve the linear programming problem.At one of its factories, a manufacturer of televisions makes one or more of four models of HD units (without cases): a 20-in. LCD, a 42-in. LCD, a 42-in. plasma, and a 50-in. plasma. The assembly and testing time requirements for each model are shown in the table, together with the maximum amounts of time available per week for assembly and testing. In addition to these constraints, the supplier of cases indicated that it would supply no more than 290 cases per week and that of these, no more than 40 could be for the 20-in. LCD model.Use the profit for each television shown in the table to find the number of completed models of each type that should be produced to obtain the maximum profit for the week. Find the maximum profit. 20-in. LCD        sets 42-in. LCD        sets 42-in. plasma        sets 50-in. plasma        sets profit     $     20-in.LCD 42-in.LCD 42-in.Plasma 50-in.Plasma TotalAvailable Assembly  time…

Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 25 mg of calcium, 2.5 mg of iron, 2 mg of vitamin C, and 6 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met? Minimize      C  =             subject to the constraints calcium             iron             vitamin C                     x ≥ 0         y ≥ 0