Problem $19-12($Static$)$

The manager of the deli section of a grocery superstore has just learned that the department has $112$ pounds of mayonnaise, of which $70$ pounds is approaching its expiration date and must be used. To use up the mayonnaise, the manager has decided to prepare two items: a ham spread and a deli spread. Each pan of the ham spread will require $1\mathrm{.}4$ pounds of mayonnaise, and each pan of the deli spread will require $1\mathrm{.}0$ pound. The manager has received an order for $10$ pans of ham spread and $8$ pans of the deli spread. In addition, the manager has decided to have at least $10$ pans of each spread available for sale. Both spreads will cost $$3$ per pan to make, but ham spread sells for $$5$ per pan and deli spread sells for $$7$ per pan.

Determine the solution that will minimize cost.

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

Determine the solution that will maximize profit.