A firm has two plants that produce identical output. The cost functions are Upper C 1 equals 309 q minus 8 q squared plus 0.5 q cubed and Upper C 2 equals 309 q minus 14 q squared plus 1.0 q cubed. First, note that if AC 1equals309minus8qplus0.5q squared, then StartFraction dAC 1 Over dq EndFraction equals negative 8 plus 2 (0.5 )q . Similarly, if AC 2equals309minus14qplus1.0q squared, then StartFraction dAC 2 Over dq EndFraction equals negative 14 plus 2 (1.0 )q . At what output level does the average cost curve of each plant reach its minimum? The first plant reaches minimum average cost at nothing units of output. (E

Owns a machine that can produce two specialized products. production time for product tlx is two units per hour and for product mtv is four units per hour. the machine’s capacity is 2,100 hours per year. both products are sold to a single customer who has agreed to buy all of the company’s output up to a maximum of 3,570 units of product tlx and 1,610 units of product mtv. selling prices and variable costs per unit to produce the products follow. product tlx product mtv selling price per unit $ 11.50 $ 6.90 variable costs per unit 3.45 4.14 determine the company's most profitable sales mix and the contribution margin that results from that sales mix.