QUESTION 6 The Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $2 and Type B seed costs $3. The blend needs to score at least 250 points for shade tolerance, 350 points for traffic resistance, and 700 points for drought resistance. Formulate linear programming model for this problem (DO NOT SOLVE for optimal solution). Shade Tolerance Traffic Resistance Type A Type B 2 2 3 2 6 Drought Resistance 3 QUESTION 7 Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 40 units of synthetic fiber, requires 15 hours of production time, and needs 10 units of foam backing. Each roll of Grade Y carpet uses 30 units of synthetic fiber, requires 18 hours of production time, and needs 5 units of foam backing. The profit per roll of Grade X carpet is $150 and the profit per roll of Grade Y carpet is $110. In the coming production period, Muir has 2900 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1700 hours of production time (overtime is a possibility). The company has 1400 units of foam backing available for use. Develop a linear programming model for this problem (DO NOT SLOVE for the optimal solution). QUESTION 8 Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain. Min 1X + 1Y s.t. 5X + 3YS 30 3X+4Y ≥ 36 Y≤7 X, Y≥O QUESTION 9 Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain. Min 3X + 3Y s.t. 1X + 2Y ≤ 16 1X + 1Y≤ 10 5X+3Y ≤ 45 X, Y≥O QUESTION 3 Consider the following linear programming problem. Max 20x + 10Y s.t. 12X+15Y≤ 180 15X+10Y ≤ 150 3X-8Y≤0 X, Y≥O The graph below is the solution to the problem. Use this graph to answer the following question; (a) Which area (I, II, III, IV, or V) forms the feasible region? (b) Which point (A, B, C, D, or E) is optimal? (c) Which constraint are binding? (constraint involved with the optimal point) (d) Which slack variable are zero? (constraint that does not have an excess unit) A 10 E V 10 QUESTION 4 Find the complete optimal solution for the following linear programming problem (the value for X, Y, min value, S1, S2, S3) Min 5X + 6Y s.t. 3X + Y ≥ 15 X+2Y≥ 12 3X+2Y ≥ 24 X, Y≥0 QUESTION 5 For the following linear programming problem. Determine the optimal solution by the graphical solution method. Are any of the constraints redundant? If yes, then identify the constraint that is reduandant. Max X + 2Y s.t. X+Y≤3 X-2Y≥0 Y≤ 1 X, Y≥0

Q: The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below: Material (measured in square inches) Model 1 Model 2 Model 3 Material Available Cardstock 12 10 14 1200 Satin 24 20 15 2000 Plain fabric 40 40 30 7500 Leather 11 11 10 1000 Profit per model $50 $44 $40   a) Generate the Sensitivity Report in EXCEL for the model that you built. Interpret, in context, the Shadow Price for the Leather and the Satin constraints.  Include units in your interpretations.

Using the 1st law of  Thermodynamics  solve the following problem and the format of the answer is as follow a.) given:b) required:c solution : The 2M Company supplies 50 kilograms of chicken to ABEst Restaurant, which is contained in a box at 6°C, and is to be frozen at-18°C. The container box is 1.5 kg and the specific heat of the box material is 1.4 kJ/kg-°C. The freezing temperature of chicken is -2.8 °C. Determine the amount of heat that needs to be removed

Taylor Smith owns a small clothing company, Cuteness for You, that offers an online subscription and personal shopping service targeted at busy families with children aged newborn to five years old. Currently, Taylor has one level of subscription service, the standard service. For $100 a month, the standard service provides its customers a monthly delivery of 10 clothing items carefully chosen to match the child's size, gender, and emerging style. The online clothing subscription market is fairly new but is growing rapidly and thus Taylor is considering extending the product line to increase its market share and profits.   Taylor is debating whether to add a premium subscription service featuring profitable high-markup items for $125 per month, a basic subscription service that contains lower-markup popular items priced at $75 per month, or possibly both. Taylor knows that the new product lines provide an opportunity to attract more customers and possibly increase revenues and profit,…

Problem #4 - Jasper Inc. would like you to provide consulting services and provide recommendation on building a new assembly facility for air conditioning units in Florida. Jasper's initial assessment indicates the following conditions for this decision-making problem: With a favorable market in Florida, Jasper thinks that a large facility would result in a net profit of $200,000 to his firm. If the market is unfavorable in Florida, the construction of a large facility would result in $190,000 net loss. - A small facility would result in a net profit of $100,000 in a favorable market, but a net loss of $20,000 would occur if the market was unfavorable. Doing nothing would result in $0 profit in either market conditions. a) Create a decision table for this problem. b) What is your recommendation if y would apply the Maximax criterion (Optimistic)? C What is your recommendation if you would apply the Criterion of Realism (Hurwicz Criterion) with a erricient of realism a = 0.9? d) What is…