The table below shows the number of tickets sold for seats in the stalls (S), circle (C) and upper circle (U) of a theatre for a show on Monday night and Tuesday night. (a) (c) S 285 (d) Monday с 268 U S 182 279 Tuesday с 275 U 177 Ticket prices to sit in the stalls, circle and upper circle were $88, $119 and $78 respectively. (b) Represent the ticket price information in matrix B so that matrices A and B can be multiplied together to create a meaningful result. Represent this information in the 2 x 3 matrix A, so that A₁₁ is the number of stalls tickets sold for Monday and A2,3 is the number of upper circle tickets sold for Tuesday. State the order in which matrices A and B must be multiplied together, and determine the result of this multiplication, matrix M. State the night on which the value of ticket sales was highest and calculate by how much the sales on this night exceeded the other night.
The table below shows the number of tickets sold for seats in the stalls (S), circle (C) and upper circle (U) of a theatre for a show on Monday night and Tuesday night. (a) (c) S 285 (d) Monday с 268 U S 182 279 Tuesday с 275 U 177 Ticket prices to sit in the stalls, circle and upper circle were $88, $119 and $78 respectively. (b) Represent the ticket price information in matrix B so that matrices A and B can be multiplied together to create a meaningful result. Represent this information in the 2 x 3 matrix A, so that A₁₁ is the number of stalls tickets sold for Monday and A2,3 is the number of upper circle tickets sold for Tuesday. State the order in which matrices A and B must be multiplied together, and determine the result of this multiplication, matrix M. State the night on which the value of ticket sales was highest and calculate by how much the sales on this night exceeded the other night.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The table below shows the number of tickets sold for seats in the stalls (S), circle (C) and upper
circle (U) of a theatre for a show on Monday night and Tuesday night.
(a)
S
285
(c)
Monday
с
268
U
S
182 279
Tuesday
с
275
U
177
Represent this information in the 2 x 3 matrix A, so that A₁₁ is the number of stalls tickets
sold for Monday and A2,3 is the number of upper circle tickets sold for Tuesday.
Ticket prices to sit in the stalls, circle and upper circle were $88, $119 and $78 respectively.
(b) Represent the ticket price information in matrix B so that matrices A and B can be
multiplied together to create a meaningful result.
State the order in which matrices A and B must be multiplied together, and determine the
result of this multiplication, matrix M.
(d)
State the night on which the value of ticket sales was highest and calculate by how much
the sales on this night exceeded the other night.
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