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Question: supermarket customers load their carts with goods totaling between 5...

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Supermarket customers load their carts with goods totaling between $5 and $250 uniformly (and continuously) distributed; call this the raw order amount. Assume that customers purchase independently of each other. At checkout, 63% of customers have a loyalty card that gives them 4% off their raw order amount. Also at checkout, 18% of customers have coupons that give them 7% off their raw order amount. These two discounts occur independently of each other, and a given customer could have one or the other of them, both of them, or neither of them. To get to their net order amount (what they actually pay) construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order amount; these statistics should include the average, standard deviation, minimum, maximum, and a histogram to describe the distribution of the net order amounts between $0 and $250. To make the requested histogram, you can either mimic what was done in the newsvendor spreadsheet simulation, or use a different approach via whatever built-in Excel facilities you'd like. (HINT: To decide whether a customer gets a loyalty discount, explore the Excel IF function with the first argument's being a random number RAND() distributed uniformly between 0 and 1; do similarly to decide on a coupon discount.)Newsvendor Problem 30 Days - 100 - 120 = 140 = 160 = 180 INPUT DATA Wholesale price c $0.55 Day Demand Sold Scrap Profit Sold Scrap Profit Sold Scrap Profit Sold Scrap Profit Sold Scra 7 56.21133 27 45.81 133 47 35.41 $1.00|| 2 145|100 0 45.00|120 0 54.00|140 063.00|145 155745|145 354706 Scrap price s = $0.0313 181|100 045.00|120 054.00|140 063.00|160 072.00| 180 081.00 Demand parameter μ = 135.701 14 106| 100 0 45.00| 106 144042| 106 3430.02| 106 54 19.62| 106 749.22 Demand parameter σ= 27,10115 128 100 0 45.00 120 0 54.001 128 1251.36 128 3240.9 128 5230.56 0 54.00 12218 45.5412238 35.1412258 24.74 7 142 100 0 45.00 1200 54.00 140 0 63.00 142 18 54.5414238 44.14 8 16910045.001200 54.00 1400 63.00 160 0 72.00169 11 70.33 0 54.00 12020 43.60 120 40 33.20 12060 22.80 10 111| 100 0 45.001111 94527 111 2934.8기 111 4924.4기 111 691407 11157 100 0 45.00 1200 54.00140 0 63.003 69.0915723 58.69 12 1101 100 0 45.001 110 10 44.3이 110 30 3390| 110 50 23.5이 110 70 13.10 13 131 100 0 45.00|120 0 54.001 131 95427|131 2943.8기 131 493347 14130 100 0 45.00 1200 54.00 30 10 53.30 130 30 42.9013050 32.50 15 162 100 045.00 1200 54.00 140 0 63.0000 72.00118 63.54 16 17 1000 45.00120 054.00 137 3 60.0913723 49.691743 39.29 17 138 100045.00 120 0 54.00138 2 61.06 122 50.66142 40.26 18 230 100 0 45.00 1200 54.0000 63.00 160 0 72.0080081.00 19123 100 0 45.00 1200 54.0012317 46.51 12337 36.12357 25.71 20135 1000 45.00 120 0 54.00 135 5 58.15135 25 47.7513545 37.35 100045.00 120 0 54.0 1400 63.00557.45 145 35 47.05 22135 100045.00 120 054.0 35 58.15 13525 47.75135 45 37.35 23175 100045.00 120 054.0 400 63.000 72.00175 5 76.15 241331000 4.00 200 54.00133 7 56.21133 27 45.81 13347 35.41 152 8 64.24 28 53.84 261 0 4500 200 54.001355 58.15135 25 47.75135 45 37.35 27137 100 0 45.00 20054.0073 60.09 137 23 49.69137 43 39.29 5 58.15 135 25 47.75 135 45 37.35 29 1101 100 04500| 110 10 44.30| 110 30 3390| 110 5023.5이 110 7013.10 0 72.00773 78.09 E(Profit/Day) 45.00 E(Profit/Day) 52.61 E(Profit/Day) 54.88 E(Profit/Day) 49.69 E(Profit/Day) 41.97 133 100 045.00 120 0 54.00137 Retail price r - 122 100 0 45.00120 120100 0 45.00 120 60 50 20 80 100 120 140 160 180 200 q (papers) 25 152 100 0 45.00 20054.00 400 63.0 135 100 135 100 177 100 0 45.00 120 0 54.00 135 0 54.00 140 士1.37 30 0 45.00 120 0 63.00 160 ± 3.84 Prob(Loss) 0.00Prob(Loss) 0.00 Prob(Loss) 0.00 Prob(Loss) 0.00 Prob(Loss) 0.00 Cum. Fre Cum. Freq Cum. Freq in loOpS Cum. Fre Cum. Fre 18 14 30 30 30 30 30 16 12 30 14 2215 30 30 28 100

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