Question

Nam A company produces a special new type of TV The company has foxed costs of $475,000, and it costs $1300 to produce each TV The company projects that if it charges a price of $2200 for the TV, it will be able to sell 750 TVs. If the company wants to sell 800 TVs, however, it must lower the price to $1900. Assume a linear Due demand Curr How many TVs must the company sell to earn $1,870,000 in revenue? Attel It needs to sell TVs (Round answer to nearest Integer if more than one answer, separate with a comma)

please show work

Answer 1

solution & The company has fixed costs of $415000, and costs $1300 to produce each TV. hence C(x) = 47500D + 1300X Next two points are (750, 2200) and (800, 1900) 1900 - 2200 80 SOO - 750 -300 50 y= 2200 - - 6(x-450) y-2200= - 6x + usoo y=-6x + 4500+ 2200 =-6% +0700 find the revenue as R(X) = x* (-6x+6700) = - 6x² +6700x

company sell to eash How many $ 1870000 in TVs must the revenue, so, -62'+ 67001 - 1870000 a = – 6700 1 6700 - 46-)/1570000) 2(-6) — 6700 I 24890000 - 44880000 -6700 - 100 6700 tloo -6800 01 x= 566-6 & suo x=550 It needs to sell ssoTVs