A. The total number of decision variables in this problem is:. B. The total number of constraints in this problem, including non-negativity constraints is:.
C. Given the constraints in this problem the maximum profit is:.
D. At the profit-maximizing level of output the total quantity of paper leftover (not used) every week is:.
E. At profit-maximizing level of output the total number of units produced of all three magazines combined is:.
A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and Surf's Up n of one issue of each of the magazines requires the following amounts of production time and paper:
Production (hour) Paper (pound)
Daily Life .01 2
Agriculture Today .03 .5
Surf's Up .02 .3
Each week the publisher has available 120 hours of production time and 3000 pounds of paper. Total circulation for all three magazines must exceed 5000 issues per week if the company is to keep its advertisers. The selling price per issue is $2.25, $4, and $1.5 for Daily Life, Agriculture Today, and Surf's Up, respectively. Based on past sales, the publisher knows that the maximum weekly demand for Daily Life is 3000 issues, for Agriculture Today, 2000 issues; and for Surfs Up, 6000 issues.