Develop an optimization model of the cannery$$s problem of utilizing the available

tomatoes to produce the three products. Clearly identify decision variables and their

units of measurement: pounds or cases. Make sure to express the quality requirements

as linear functions of the decision variables. As always, ignore the fixed overhead

costs.

a$.$ The total profit can be computed in two ways: treating the cost of tomatoes $($fruit$)$

as $(1)$ variable cost per pound of tomatoes used, and $(2)$ fixed cost of purchasing all of

the $3$ million pounds of tomatoes. Which approach is appropriate, and when? Briefly

comment on the accounting controversy regarding other ways of allocating the cost of

tomatoes, but ignore it in your optimization model.