Beta Publishing Company is considering publishing a paperback textbook on spreadsheet applications for business.

Data: The fixed cost of manuscript preparation, textbook design, and production setup is estimated to be $$160,000.$ Production and material costs are estimated to be $$6$ per book. The publisher plans to sell the text to college and university bookstores for $$96$ each.

a$.$ Determine equations for the total cost, total revenue, and profit.

b$.$ What profit or loss can be anticipated with a demand of $3800$ copies?

c$.$ With a demand of $3800$ copies, what is the minimum price per copy that the publisher must charge to break even?

d$.$ Illustrate the break$-$even volume graphically $($graph total cost and total revenue$).$