A car company produces 3 models, model A / B / C. Long-term projections indicate an expected demand of at least 100 model A cars, 80 model B cars and 120 model C cars each day. Because of limitations on production capacity, no more than 200 model A cars and 170 model B cars and 150 model C cars can be made daily. To satisfy a shipping contract, a total of at least 300 cars much be shipped each day. If each model A car sold results in a $1500 loss, but each model B car produces a $3800 profit, each model C car produces a $2500 profit, how many of each type should be made daily to maximize net profits?

Use lpsolve in R.