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A restaurant has a special dinner every Friday, featuring a dish with local ingredients. A percentage of the profits of the Friday special are donated
A restaurant has a special dinner every Friday, featuring a dish with local ingredients. A percentage of the profits of the Friday special are donated at the end of the year to support youth art programs. The cost per order is $9, each order sells at $13 and the leftovers are raffled between the staff for free after the kitchen closes. Demand for Friday specials follows a Normal distribution with a mean of 85 specials and a standard deviation of 11 specials. The restaurant also has a food truck and they offer the Friday special in a to-go version, with the same ingredients, cost and selling price per serving (the leftovers at the food truck are also raffled for free between the staff). Demand for Friday specials at the food truck can be represented by a Normal distribution with a mean of 25 specials and a standard deviation of 4 specials. Currently the number of specials to prepare each Friday is determined separately for the restaurant and the food truck, but the manager is wondering if the restaurant should act as a ghost kitchen for the food truck. The idea is to determine the joint total number of specials, precook
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