consider the following nonlinear programming model: maximize profit 100x^6-1359x^5+6836x^4-15670x^3+15870x^2-5095x Formulate this problem in a spreadsheet then use the Nonlinear Solver and the Multistart Feature to solve this problem.
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consider the following nonlinear programming model:
maximize profit 100x^6-1359x^5+6836x^4-15670x^3+15870x^2-5095x
Formulate this problem in a spreadsheet then use the Nonlinear Solver and the Multistart Feature to solve this problem.
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- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?Long-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsFind the dual of the problem.
- Define the term nonlinear programming?Please answer all parts A Rhino cement company owns two production plants. Plant 1 costs 20977 per day to operate, and it can produce 330 bags of high-grade cement, 475 bags of medium-grade cement , and 508 bags of low-grade cement each day. Plant 2 is newer and more modern. It costs 22570 per day to operate, and it can produce 435 bags of high-grade cement,271 bags of medium-grade cement, and 274 bags of low-grade cement each day. The company has orders totaling 24539 bags of high-grade cement, 25248 bags of medium-grade cement, and 33749 bags of low-grade cement. How many days should it run each plant to minimize its costs and still produce enough cement to meet its orders? What is the value of the first dual variable? What is the value of the second dual variable? What is the value of the third dual variable? What is the value of dual optimal solution z?What is the nonlinear programming model (OMEGA) used by Texaco?
- Don't solve. Please give- Decision Variable Constraint Objective functionConsider the following linear programming model: maximize Z = 3x1 + 2x2 subject to : x1 +x2 ≤ 1 x1 + x2 ≥ 2 x1,x2 ≥ 0 a) Write this model in a standard (augmented) form. (i.e. Introduce slack/surplus, artificial etc.)b) Constract the initial simplex tableau and carry on your calculations to solve this model using the simplex method. Interpret your result.What function does linear programming play in OR?
- Define the different components (y, x, a, and b) of a linearregression equationDuring the year, Brownout Company experienced the following power outages:Number of Power Outages Per Month Number of Months 0 3 1 2 2 4 3 3 12Each power outage results in out of pocket costs of P400. For P500 per month, the company can lease an auxiliary generator to provide power during outages. If the company leases an auxiliarygenerator next year, the estimated savings (or…Long-Life Insurance has developed a linear model that it uses to determine the amount of term life insurance a family of four should have, based on the current age of the head of the household. The equation is:y = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.