The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $4 for children, $6 for students, and $8 for adults. The attendance for the Sunday matinee is given by the matrix. Children Students Adults Cinema I 245 120 60 A = Cinema II90 190 120245Cinema III280 85 120 Cinema IV0 240 245Write a column vector B representing the admission prices.B = Compute AB, the column vector showing the gross receipts for each theater.AB = Find the total revenue collected at the Cinema Center for admission that Sunday afternoon.$

Given that the Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $4 for children, $6 for students, and $8 for adults. The attendance for the Sunday matinee is given by the matrix A is Children Students Adults Cinema I 245 120 60 Cinema II 90 190 245 Cinema III 280 85 120 Cinema IV 0 240 245 Now, A=2451206090190245280851200240245, And the admission price for one feature at the center is For children = $4, For Student = $6, For adults = $8. This implies that, B=468.For AB: AB=2451206090190245280851200240245468, =2180346025903400. So, AB=2180346025903400. Now the total revenue collected at the cinema center for admission that Sunday afternoon: =4245+90+280+6120+190+85+240 +860+245+120+245,=2460+3810+5360,=11630. Hence the total revenue is $11630.

Answered: The Cinema Center consists of four…

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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The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $4 for children, $6 for students, and $8 for adults. The attendance for the Sunday matinee is given by the matrix.

Children

Students

Adults

Cinema I

245

120

A =

Cinema II

190

120

245

Cinema III