L.P.​ Model: Maximize Z= 4X+6Y Subject​ to:   1X+2Y ​< 8 (C1​)   5X+4Y < 20​(C2​)   ​X,Y > 0   On the graph on​ right, constraints C1 and C2 have been plotted.   Using the point drawing tool​, plot the four corner points for the feasible area. Part 2 Part 3 The optimum solution​ is: Part 4 X​ =    1.33 ​(round your response to two decimal​ places). Part 5 Y​ =    enter your response here ​(round your response to two decimal places)

- V:or 1%AT h. N Q3 L-7.pdf Use the simplex method to find the maximum value of : = 2x, - x, + 2r, Objective funetion subject to the constraints s 10 2x, + x2 X + 2r, - 2x, s 20 X + 2x, s 5 where x, 2 0, x, 2 0, and x, 2 0. 1- Design the below table to solution the problem ? C, В.С В.V X, X2 X3 S1 S2 S3 RHS Ratio S1 1 1 10 S2 1 2 -2 20 S3 1 1 Z=EX,*BC, Z-C, 2-Choose the entering variable? Why? 3-Obtained (by Gauss Jordan elimination) the departing variable row? Why? 1. 2.

Determine the amount of slack or surplus for each constraint. If required, round your answers to one decimal place. (1) A + 4B ≤ 21     (2) 2A + B ≥ 7     (3) 3A + 1.5B ≤ 21     (4) -2A + 6B ≥ 0

Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands and selling prices for these two cameras are as follows. Ds = demand for the Sky Eagle Ps= selling price of the Sky Eagle DH = demand for the Horizon PH = selling price of the Horizon Revenue Ds = 223 - 0.60PS + 0.35PH DH= = 265 + 0.10Ps - 0.64PH The store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenue function R (in terms of P and PH only) for these two models, and find the revenue maximizing prices (in dollars). (Round your answers to two decimal places.) Price for Sky Eagle Price for Horizon Optimal revenue R = Ps (223 -0.60P+ 0.35P₁ +PH (265 +0.10P - 0.64P н' Ps = $309.24 = $ 315.75 H R = $77244.46 xxx