Question

this is gr 11 math.. need help

Boris is selling pirate hats. If he sells the hats for $50 he will sell 135 hats. For each increase in price of $2 he will sell 3 fewer hats. Determine the possible prices he could charge to earn $6486 or more.

Answer 1

If Bosis sells hads for $50, he will sell 135 hats. for each increase in price of $2 he will sell 3 hower hats. i-d, if price of that is $150 42) then he will sell (135-3) hats for price $ (50 42@)), he will sell (135-3(27) hats. or for price & (50+2x), he will sel! (135-3x) hats . where, zano. of time $2 is increased. Now, coming a price of each hat x no. of hats sold as given, 6486-50+2x) (135-38) 9-68271204 +2640 & x² 20x 4450 x²_22x + 2x +(22) (2) ao 7x6-22) + 2(x-22) 20 a(-22)62 +2) 20 x = 221-2 x can't be negative. so, to eam & 6486, he will change a price of #(50+2x) = *(5042(22) = $94 for a hat. x = 22

120 - 6X6X 120 on general, earnig = (50 +2x) (135-2x) = g(x) (says & gla) a 2 C135-3x)-3(50+2x) yi (2) a a) ylca) 12x for costical points, ylanco >) 120 - 12 x 20 12x 120 2 -10 & y" (x2 =-12 & yl(10) 2-12.40 2 x 210 is a maxima for g(x) & maximun value of g (or earing) is, 4 (19) (+2(190 13-3(to) =(50+20) (1995 -30) E 70 X IOS =7350 ham a manimum of $7350 if he sells hats with price $ (50+2010)) =$70 peor hast. To eam $6486 he changed $94 per hat. Each time he change price he increase or decreases price by $2. and to eam more than $6486, from resut (marimum eaning), we have, he will decrease the charge by $2 each time till the price reaches so, he can 1 $70 peas hat, so possible prices are pes had $94, $ 92, $90, 1 $74, $724870.

PLEASE RATE.