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Becky Shelton, a marketing coordinator for Douglass Enterprises, is in charge of ordering the T$-$shirts to be sold for the company's annual fund$-$raising project. The T$-$shirts are printed with a special Douglass Enterprises logo$.$ In some years, the supply of T$-$shirts has been insufficient to satisfy the number of sales orders. In other years, Tshirts have been left over. Excess T$-$shirts are normally donated to some charitable organization. T$-$shirts cost the company $$7$ each and are normally sold for $$14$ each. Ms$.$ Shelton has decided to order $820$ shirts.

Required

a$.$ If the company receives actual sales orders for $760$ shirts, what amount of profit will the company earn? What is the cost of waste due to excess inventory?

b$.$ If the company receives actual sales orders for $850$ shirts, what amount of profit will the company earn? What amount of opportunity cost will the company incur?

$\backslash$table$[[$a$.$ Profit,,$],[$a$.$ Waste due to excess inventory,$$,420],[$b$.$ Profit,$$,5,740],[$b$.$ Opportunity cost,$$,210]]$