If matrix A = [ 1.00 1.5 0.75 ] [ 0.75 1.0 1.50 ] represents in thousands the nu
ID: 2986405 • Letter: I
Question
If matrix A = [ 1.00 1.5 0.75 ]
[ 0.75 1.0 1.50 ]
represents in thousands the number of Toyota, Honda, and Dodge vehicles sold in January and February by dealer one and matrix
B =[ 0.15 0.2 0.2]
[ 0.12 0.2 0.3]
represents in thousands the numbers of Lexus, Lincoln, and Cadillac vehicles sold by dealer two during January and February, write down the matrix representing the total number of cars sold in January and February. Also, if the sale prices of a Toyota, Honda, Dodge, Lexus, Lincoln and Cadillac vehicle are $15,000, $16,000, $15,000, $35,000, $45,000, and $35,000, respectively, find which dealer had the higher revenue.
show all solution steps and all work, as all math students should.
Explanation / Answer
matrix representing the total number of cars sold in January and February = A+B
= [ 1.15 1.7 0.95 ]
[ 0.87 0.3 1.80 ]
Revenue earned by dealer 1 in January and Feburary (in thousands)
= [ 1.00*15000 + 1.5 *16000 + 0.75*15000 ]
[ 0.75 *15000 + 1.0*16000 + 1.50*15000 ]
=[ 50250 ]
[ 19750 ]
Dealer 1 total revenue (in thousands ) = 50250 +19750 = 70000
Revenue earned by dealer 2 in January and Feburary (in thousands)
=[ 0.15*35000 + 0.2 *45000 + 0.2*35000 ]
[ 0.12 *35000 + 0.2 *45000 + 0.3*35000 ]
=[ 21250 ]
[ 23700 ]
Dealer 2 total revenue (in thousands ) = 21250 +23700 = 44950
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