A store manager predicts that 150 blankets will be sold if each blanketcosts $32. The manager predicts that 2 less blankets will be sold for every$1 increase in price. For what prices can the manager predict that at least120 blankets will be sold?

Answer:$47Step-by-step explanation:Given: Store manager have predicted that 150 blanket can be sold at $32 each.Also he has predicted sales of 2 blanket will decrease with $1 increase in price.Now, finding price at which 120 blanket can be sold.As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.∴ [tex]150-120 = 30\ blankets[/tex]Using unitary method to find correct price.For 2 decrease in sales = $1 increase in price                 ∴ 30 decrease in sales of blanket = $15 increase in priceNext, price of 120 blanket = [tex]Price of 150\ blanket + increase\ in\ price[/tex]Price\ of\ 120\ blanket = [tex]32+15 = \$ 47[/tex]∴ $47 should be the price for at least 120 blanket to be sold.