Question

Amontae Jernigan Due Sun 04/26/2020 11:59 pm A computer store sells two types of laptops, an all-purpose laptop and a gaming laptop. The supplier demands that at least 150 of these laptops be sold each month. Experience shows that most consumers prefer all-purpose laptops, but some younger consumers prefer gaming laptops. The result is that the number of all-purpose laptops sold is at least twice the number of gaming laptops sold. The store pays its sales staff a $65.16 commission for each all-purpose laptop sold and a $46.88 commission for each gaming laptop sold. How many of each type of laptop should be sold to minimize commission? What is that minimum monthly commission? All-purpose laptops: Gaming laptops: Commission (dollars): Submit 40 1/23/2

Answer 1

Let, The quantity of all purpose Laptops be sold each month is re. and the quantity of gaming Laptops be sold in each month is yo. : from the question, - x+y= 150 ... 6 Again, n=24 -- . from equation (1) - n x+y=150 or, 2y + y = 150 or 3y = 150 y = 150 =50 from equation 3 x=24 2880 = 100 Quantity of all purpose laptops should be sold to minimize commission is 100 Pes. Quantity of gaming laptops should be sold to minimize commission is sopes. Minimum monthly commission = (100 x $65. 16) + (50 x $46.8) = $6516 +$2344 - $ 8860