A company owns two movie theaters in town. The number of popcorns and drinks sold for each theater is given in matrix Q . The price per item is given in matrix P . Find the product Q P and interpret the result. Popcorn Popcorn Drinks Drinks small large small large Q = 386 244 418 216 450 382 476 262 Theater 1 Theater 2 P = $ 8.50 $ 6.50 $ 5.50 $ 3.50 Popcorn small Popcorn large Drinks small Drinks large
A company owns two movie theaters in town. The number of popcorns and drinks sold for each theater is given in matrix Q . The price per item is given in matrix P . Find the product Q P and interpret the result. Popcorn Popcorn Drinks Drinks small large small large Q = 386 244 418 216 450 382 476 262 Theater 1 Theater 2 P = $ 8.50 $ 6.50 $ 5.50 $ 3.50 Popcorn small Popcorn large Drinks small Drinks large
Solution Summary: The author explains the product matrix QP and the interpretation of the result.
A company owns two movie theaters in town. The number of popcorns and drinks sold for each theater is given in matrix
Q
. The price per item is given in matrix
P
. Find the product
Q
P
and interpret the result.
Popcorn
Popcorn
Drinks
Drinks
small
large
small
large
Q
=
386
244
418
216
450
382
476
262
Theater 1
Theater 2
P
=
$
8.50
$
6.50
$
5.50
$
3.50
Popcorn
small
Popcorn
large
Drinks
small
Drinks
large
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
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