Sal’s Sporting Goods Company plans to sell items at a local football stadium. They will sell two items that have the home team’s logo: hats for $12 and shirts for $20. They must pay the stadium $500 for the right to sell merchandise, and they must pay the home team $1.50 for each item with their team’s logo. Production cost for each hat is $7 and $9 for each shirt. They only have enough space for 200 items. What possible combinations of hats and shirts will create a profit (when income is more than expenses)?
Let h = # hats
Let t = # shirts
Write an expression to represent the income from hats and shirts.
Write an expression to represent the expenses that the sale of hats and shirts will produce.
Write an inequality to represent the profit.