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WK Qu. 2-14 Find the optimal solution for the following... Find the optimal solution for the following problem. (Round your answers to 3 decimal places.) Maximize C 18x+23y - 10;z subject to 14x + 16y 23zs 56 9x0y 7z s 112 and a. What is the optimal value of x? b. What is the optimal value of y? c. What is the optimal value of z? d. What is the maximum value of the objective function? Maximum value

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Answer #1

Using the simplex method

liven Subject to Constraint 15x +16yt 23 z 56 and XiY ZD we have to Converte d to Canno ni calfo advna Slack, Surplus and artiticial variables as applopiae 1 As the castraint e we hould add plack vaialle s, we -thoud add tark vaie s A-tter addig slaet vaiableg Subjedt plepau iteration table we e 18 3 to 0 56 ー] 15 161 аз So 112 o oo o O -18a3 o o otter e Negate minimum i^ -a3 and colomn ndex entaivg o O 529 23 23ー16 2. 76 0363 23 16 TL tlere alt csate oplinval -solut on X get witt Value op 16/ 2.

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