Lorenzo's Frozen Pizza Inc. has determined from its production budget the following estimated production volumes for ${12}^{\text{'}\text{'}}$ and ${16}^{\text{'}\text{'}}$ frozen pizzas for September:

$\backslash$table$[[,$Units$],[$Budgeted production volume,$15,700,25,700]]$

Three direct materials are used in producing the two types of pizza. The quantities of direct materials expected to be used for each pizza are as follows:

$12"$ Pizza

$16"$ Pizza

Direct materials:

$\backslash$table$[[$Dough$,0\mathrm{.}80lb.$ per unit,$1\mathrm{.}50lb.$ per unit$],[$Tomato$,0\mathrm{.}50,0\mathrm{.}70],[$Cheese$,0\mathrm{.}70,1\mathrm{.}30]]$

In addition, Lorenzo's has determined the following information about each material:

$\backslash$table$[[,$Dough,Tomato,Cheese$],[$Estimated inventory, September $1,560lb.,240lb.,350lb.],[$Desired inventory, September $30,59lb,,230lb,,380lb.],[$Price per pound,$$1\mathrm{.}10,$$$2\mathrm{.}70,$$$3\mathrm{.}30$