PA $13-2($Algo$)$ Flextrola, Incorporated, an electronics systems integrator, is$...$

$20$

points

Flextrola, Incorporated, an electronics systems Integrator, is planning to design a key component for its next$-$generation product with Solectrics. Flextrola will Integrate the component with some software and then sell it to consumers. Glven the short life cycles of such products and the long lead times quoted by Solectrics, Flextrola only has one opportunity to place an order with Solectrics prior to the beginning of its selling season. Flextrola's demand during the season is normally distributed with a mean of $1,200$ and a standard deviation of $800.$ Use Table $13\mathrm{.}4.$

Solectrics' production cost for the component is $\backslash (\backslash$$ $51\backslash )$ per unit, and it plans to sell the component for $\backslash (\backslash$$ $71\backslash )$ per unit to Flextrola. Flextrola Incurs essentlally no cost assoclated with the software integration and handling of each unit. Flextrola sells these units to consumers for $\backslash (\backslash$$ $125\backslash )$ each. Flextrola can sell unsold inventory at the end of the season in a secondary electronics market for $\backslash (\backslash$$ $48\backslash )$ each. The existing contract specifies that once Flextrola places the order, no changes are allowed to it$.$ Also, Solectrics does not accept any returns of unsold Inventory, so Flextrola must dispose of excess Inventory In the secondary market.

Note: If a part of the question specifles whether to use Table $13\mathrm{.}4,$ or to use Excel, then credit for a correct answer will depend on using the specifled method.

a$.$ What is the probability that Flextrola's demand will be within $25\backslash \%$ of its forecast? Use Excel.

Note: Round your answer to $4$ decimal places.

Answer is complete and correct.

Probability

b$.$ Under this contract, how many units should Flextrola order to maximize its expected profit? Use Table $13\mathrm{.}4.$

Answer is not complete. $($not $1616)$

Order quantity

c$.$ If Flextrola orders $1,000$ units, how many units of Inventory can Flextrola's expect to sell in the secondary electronics market? Use Table $13\mathrm{.}4.$

Note: Round your answer to $\backslash (\backslash$mathbf$\{2\}\backslash )$ decimal places.

Answer is complete but not entirely correct.

Expected left$-$over inventory

$598\mathrm{.}70$

d$.$ If Flextrola orders $1,000$ units, what are expected sales?

Note: Round your answer to $2$ decimal places.

Answer is complete but not entirely correct.

Expected sales