Question

& The cost of producing & units is C(x) = 200+755 – 300 lux (a) Find the average cost function C (6) Find the minimum average cost analytically. Show all steps, explain what you're doing, and prove (using calculus) it's a minimum a answer correct to 2 decimal places)

Answer 1

ccn) = 200+752-300 lux ,x), @ Average cost function écal = cay " ECHL) = 207753-300lna: 4 © ECH) h00 +75-300 ling 2(N) = 15+re -300% entre EC 20--00 [a bi la..] 32-300l-ena) -[2+3(1-daras) - 100 [ 5-3 ense] for critical values aca)=0 s too [5–3 kma) =0 = r-jam то lunas 55.29 an integer Here a should be late as a25 Ĉ"cay = -100171*946–.34na) 247 6?)? stop in ace-song

Elesz.-1000 ? ) E"g) = -1007 hits) 22.05 90 E"cs). 20 So, by second derivative test weget minimum - arceage cost tla) at 2-5 : minimum average cost clo) og a ICE 1+200-300 lms) = 115-boln159 = 18.4337 18.43 minimum average cost =0(5) ji? :$18.43 per item