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MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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Sensitivity analysis in linear programming is used to: a) Determine the effect of changes in the coefficients of the objective function
b) Determine the effect of changes in the right-hand side of constraints
c) Both a and b
d) Neither a nor b
-For this problem clearly derive the Linear program-Graph this problem and clearly indicate the feasible options- Clearly determine the solution to the problem using the method of points (be smart about which points you have to evaluate based on the graph of the objective function
A college student works in both the school cafeteria and
library. She works no more than 12 hours per week at the
cafeteria, and no more than 16 hours per week at the
library. She must work at least 20 hours each week. Write
a system of inequalities that describes all the given
conditions.
Write a system of inequalities letting x= number of hours
worked at the cafeteria per week and y = number of hours
worked at the library per week.
x+yz x≤ ys
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- Simplex Method Write in normal form and solve by the simplex method, assuming x, to be nonnegative. 1. The owner of a shop producing automobile trailers wishes to determine the best mix for his three products: flat-bed trailers, economy trailers, and luxury trailers. His shop is limited to working 24 days/month on metal- working and 60 days/month on woodworking for these products. The following table indicates production data for the trailers. Usage per unit of trailer Flat-bed Economy Luxury Available resources 1 2 1 24 Metal work days Wood work days Contribution (Rx100) 60 4 6 2 14 13arrow_forwardplease help me and solve thisarrow_forwardDescribe the analysis of simultaneous changes in coefficients of objective function??arrow_forward
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- Consider the following LP problem: Min 6X+ 27Y Subject to : 2 X + 9Y => 25, and X + Y <= 75. Pick a suitable statement for this problem: a. X=37.5, Y=37.5 is the only optimal solution. b. Optimal Obj. function value is 75 c. X = 0, Y = 0 is the only optimal solution. d. Optimal Obj. function value is 0arrow_forwardObtain the general solution to the equation. (1-x²)dy/dx-x²y = (1+x) √(1-x² ) dx The general solution is y(x)=____, ignoring lost solutions, if any.arrow_forwardI need answer typing clear urjent no chatgpt used i will give upvotesarrow_forward
- Consider 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.arrow_forwardDetermine the pivot element in the simplex tableau. (If there is more than one correct pivot element, choose the element with the smaller row number.) X1 X2 X3 S1 S2 3 4 2 1 15 1 20 -8 -3 10 1 row column N O Oarrow_forwardShow that any 2 *2 matrix A that does not have aninverse will have det A= 0.arrow_forward
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