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PRODUCTION SCHEDULING A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $3/unit on Product A and a profit of $4/unit on Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? What is the largest profit the company can realize? Is there any time left unused on the machines?
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Chapter 4 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
- Please refer belowarrow_forwardMatlab Do question #3 from Section 1.10 Exercises of the textbook (theproblem about Mac and Cheese). For each part, be sure to explicitly give the appropriate system ofequations (as a comment) before entering the appropriate matrices into MATLAB. Show all of yournecessary MATLAB computations.arrow_forwardPLEASE ANSWER ALL PARTSarrow_forward
- PLEASE ANSWER BOTH PARTSarrow_forward(1) (16 points) Let f(x, y) = 2x + 3y + In(xy) (a) (6 points) Calculate the gradient field Vf(x, y) and determine all points (x, y) where ▼f(x, y) = (0, 0). (b) (4 points) Calculate the second derivative matrix D²f(x,y).arrow_forwardLet f(x, y) = 2x + 3y+ In(xy)arrow_forward
- (3) (16 points) Let D = [0, π/2] × [0, 7/6]. Define T: DCR2 R3 by → T(0, 4) = (2 sin cos 0, 2 sin sin 0, 2 cos x). Let S be the surface parametrized by T. (a) (8 points) Determine the normal, call it n(p), for the tangent plane TS at an arbitrary point p = T(0, 4). (b) (4 points) Show that n(p) parallel to the position vector T(0, 4) determined by p? Do the two vectors have the same direction or opposite direction? Explain. (c) (4 points) At which points p, if any, is TS parallel to the xy-plane?arrow_forward5:19 0 TEMU TEMU >>> 49 95% University at Albany - Single Sig... L Lumen OHM D2L HW4- AMAT100-Precal HW4 Score: 12.99/21 Answered: 18/21 × Question 16 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Find the inverse for the function k(x) = √√7x+12 k-¹(x) = Question Help: Video Message instructor Submit Question esc ||| F1 80 ୮ (x) = tarrow_forwarduse components when solvingarrow_forward
- File Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014arrow_forwardMatlab. Add written awnsers (denoted by stars) in comments.arrow_forwardmin(sin x, cos x) 2πT 0 max (esin x, ecos x dxarrow_forward
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