6:53 PM Sat Dec 11 97% HW B LP Solving Template Draw Formulas Data Home Insert Review View a Arial 14 B 1 U abc A a ABC 123 Er fx UT A B D F F G H 1 J J K L M N O Team Problem LP Model Min 8.0007 + 6,000.P LHS RHS Slack T T 8 Minimum Teaming P > 10 Minimum Problem Solving P25 Minimum Total 3P S 84 Days Available T + 47 + T, P20 1 JUT 2 3 4 Solution 5 6 Minimize 7 8 8 Min Team 9 9 Min Problem 10 Min Total 11 Days Available 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 30. Alb) Alc) B 2 9 + 6:53 PM Sat Dec 11 97% HW B LP Solving Template Draw Formulas Data Home Insert Review View Arial 14 B 1 U abc A ABC E fx UT A B D E F F G . H 1 J J K L M N 0 Team Problem Time LHS RHS Slack 1 UT 2 3 4 Solution 5 6 Minimize 7 8 Min Team 9 Min Problem 10 Min Time 11 Min Total 12 Days Available 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 20 Alb) Alc) B 2 2 9 9 + 6:53 PM Sat Dec 11 97% HW 8 LP Solving Template Draw Formulas Data Home Insert Review View Arial 14 B 1 U abc 1> A 123 29 fx BBNC A B D E F G H J L M N N o Toot Wheet Honk LP Model LHS RHS Slack Max Profit = 0.90T + 1.10W+1.40H Subject to 30T +20W +30H 56,000 (Labor time in minutes) 1T + 2W + 3H ABC 123 E 29 fx A D E F G H 1 J . K L M N o Q Q R B Newspaper Radio Solution Total audience Maximize LHS RHS Slack 4 1 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 An Alb) Alc) B 2 9 9 + 6:54 PM Sat Dec 11 97% 8 Minimum Teaming > 10 Minimum Problem Solving P > 25 Minimum Total 3 PS 84 Days Available + T 47 + T, PO 12-B(a) Let T = Number of Toots produced W = Number of Wheets produced H = Number of Honks produced Max Profit = 0.90T + 1.10W + 1.40H Subject to 30T + 20W + 30H 0 *Explanation of the first constraint: The total labor time used must be no more than the time available. So we need: total labor time used to make 3 products = 100 hours Time needed to make each noise-maker is expressed in minutes: 30 minutes, 20 minutes, and 30 minutes, respectively for Toot, Wheet and Honk. The time unit must be consistent between the left and right sides of the constraints. We can use either hours on both sides or minutes on both sides. Using minutes gives us: 30 T +20 W + 30 H 2 Radio) R > N > NR 20 12-9 a. Let T= number of television spot advertisements R= number of radio advertisements O = number of online advertisements Max 100,000T + 18,000R + 40,000 0 s.t. + 300R + 600 0 T, R, 0,20 *Explanation: For Max 50% Radio: Number of radio ads must not exceed 50% of the total number of ads R R-0.50T -0.50R -0.50 0 0 from distributive property > -0.50T +0.50R -0.50 0 0.10(T+R+O) T-0.10(T+R+ O) > 0 T-0.10T-0.10R - 0.10 00 0.90T-0.10R-0.10 00 12-11 Let A = $ automobile loans F=$ furniture loans (= $ other secured loans S=$ signature loans R=$ "risk free" securities Max 0.084 + 0.10F + 0.110 + 0.125 + 0.09R s.t. 0.100 + 0.905 -0.104 A 0.10F F + + 0 RS 600,000 S0 S-0.10(A+F+O+S) = 160,000 3) G = 160,000 5) I = 240,000 7) 0.10G + 0.071 +0.01M = 0 Funds Available Min growth fund Max growth fund Min income fund Max income fund Min money market fund Max risk *Explanation of risk constraint (7) *Explanation of risk constraint (7) The client's risk index is 0.05. This means the risk of portfolio should be no more than 0.05. So we need: Portfolio risk