The product of A and B that is, A B where, A gives the records of regular, plus and premium gasoline sold during the week (Monday to Friday ) and B gives the selling price and profit for each type of gasoline. For Matrix A : Regular Plus Premium Weekdays 4600 1850 720 Weekend 2300 620 480 For Matrix B : Selling Price Profit Regular $ 3.59 $ 0.21 Plus $ 3.79 $ 0.24 Premium $ 4.19 $ 0.18
The product of A and B that is, A B where, A gives the records of regular, plus and premium gasoline sold during the week (Monday to Friday ) and B gives the selling price and profit for each type of gasoline. For Matrix A : Regular Plus Premium Weekdays 4600 1850 720 Weekend 2300 620 480 For Matrix B : Selling Price Profit Regular $ 3.59 $ 0.21 Plus $ 3.79 $ 0.24 Premium $ 4.19 $ 0.18
Solution Summary: The author calculates the product of A and B: AB, where A gives the records of regular, plus and premium gasoline sold during the week.
To calculate: The product of A and B that is, AB where, A gives the records of regular, plus and premium gasoline sold during the week (Monday to Friday ) and B gives the selling price and profit for each type of gasoline.
For Matrix A:
Regular
Plus
Premium
Weekdays
4600
1850
720
Weekend
2300
620
480
For Matrix B:
Selling Price
Profit
Regular
$3.59
$0.21
Plus
$3.79
$0.24
Premium
$4.19
$0.18
(b)
To determine
To calculate: The profit for the weekend if A gives the records of regular, plus and premium gasoline sold during the week (Monday to Friday ) and B gives the selling price and profit for each type of gasoline.
For Matrix A:
Regular
Plus
Premium
Weekdays
4600
1850
720
Weekend
2300
620
480
For Matrix B:
Selling Price
Profit
Regular
$3.59
$0.21
Plus
$3.79
$0.24
Premium
$4.19
$0.18
(c)
To determine
To calculate: The revenue for the entire week, if A gives the records of regular, plus and premium gasoline sold during the week (Monday to Friday ) and B gives the selling price and profit for each type of gasoline.
3. Find the value of cach letter in the matrices below.
i.
ii.
Find the inverse of the matrix A-
The Alpha club and the beta club perform service work for the Salvation Army, the Boy's Club, and the Girl Scouts. The Alpha Club performs 50 hours at the Salvation Army, 85 hours at the Boys' Club, and 68 hours for the Girl Scouts. The Beta Club performs 65 hours at the Salvation Army, 32 hours at the Boys' Club, and 94 hours for the Girl Scouts. Tabulate the given data.a. Represent your table as matrix M, a 2 x 3 matrix.b. Determine the Transpose of your answer in a.
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