Question: In a bread store there's space to store bread, with a capacity of 7 cubic meters. Each week, the store produces N cubic meters of

In a bread store there's space to store bread,

In a bread store there's space to store bread, with a capacity of 7 cubic meters. Each week, the store produces N cubic meters of bread, where N is a random variable, such that Pr {N = x} = a (x), x = 0,1,2,3,... At the end of each week the store has the option of removing stored bread through a variable cost of H per cubic meter of bread and a fixed cost of G. If the bread produced in a week is greater than 7, the excess bread must be thrown away at a cost of F per cubic meter of excess bread. Take the following policy, if at the end of the week the bread container holds more than 3 cubic meters of bread, the space is emptied. Otherwise, nothing is done that week Let y be the amount of bread, in the dedicated space to store bread, at the beginning of week n. Find a procedure and calculate the expected total cost in week n. Assume Y = 4 and E(N) = 3 In a bread store there's space to store bread, with a capacity of 7 cubic meters. Each week, the store produces N cubic meters of bread, where N is a random variable, such that Pr {N = x} = a (x), x = 0,1,2,3,... At the end of each week the store has the option of removing stored bread through a variable cost of H per cubic meter of bread and a fixed cost of G. If the bread produced in a week is greater than 7, the excess bread must be thrown away at a cost of F per cubic meter of excess bread. Take the following policy, if at the end of the week the bread container holds more than 3 cubic meters of bread, the space is emptied. Otherwise, nothing is done that week Let y be the amount of bread, in the dedicated space to store bread, at the beginning of week n. Find a procedure and calculate the expected total cost in week n. Assume Y = 4 and E(N) = 3

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