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The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $7.00 a box. The lettuce is sold for $18.00 a box and the dealer that sells old lettuce is willing to pay $2.00 a box. Past history says that tomorrow is demand for lettuce averages 255 boxes with a standard deviation of 40 boxes. How many boxes of lettuce should the supermarket purchase tomorrow

Respuesta :

TomShelby

Answer:

it should purchase 276.6 units

Explanation:

cost per unit:

7 dollars less 2 dollars recovery = 5 dollars

contrubtion per unit:

18 dollars sales price less 5 dollars = 12 dollars

probability = 1 - 5 / (12 + 5) = 70.59%

we now look into the z table of a normal distribution which is 0.54

now we calcualte the optimal quantity;

mean + deviation x z-value

255 + 40 x 0.54 = 276.6 units

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