A manufacturer of fine pens produces in two plants. The total cost of producing in the first plant is given by
T C1 = y12 + 100.
The total cost of producing in the second plant is given by
TC2=y23 +200. 3
In these cost functions, y1 corresponds to the number of pens produced in the first plant, and y2 corresponds to the number of pens produced in the second plant. Suppose the firm is producing 60 fine pens. If the firm is minimizing costs, how many pens is it producing in the first plant?

Emery pharmaceutical uses an unstable chemical compound that must be kept in an environment where both temperature and humidity can be controlled. emery uses 825 pounds per month of the chemical, estimates the holding cost to be 50% of the purchase price (because of spoilage), and estimates order costs to be $48 per order. the cost schedules of two suppliers are as follows: vendor 1 vendor 2 quantity price/lb quantity price/lb 1-499 $17 1-399 $17.10 500-999 $16.75 400-799 $16.85 1000+ $16.50 800-1199 $16.60 1200+ $16.25 (a) what is the economic order quantity for each supplier? (b) what quantity should be ordered and which supplier should be used? (c) the total cost for the most economic order sire is $