Bicycle Xp
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Problem about Cramer's rule?
A company manufactures ten-speed and three speed bicycles. The weekly demand equations are
p=230-10x+5y (2)
q=130+4x-4y (2)
Where $p is the price of a ten-speed bicycle, $q is the price of a three-speed bicycle, x is the weekly demand for ten-speed bicycles, and y is the weekly demand for three-speed bicycles.
The weekly revenue R is given by
R=xp+yq
A) Use (2) to express the daily revenue in terms of x and y only
B) Use cramer's rule to solve system (2) for x and y in terms of p and q, and then express the daily revenue R in terms of p and q only
A) You have expressions for p and q, so just multiply p by x, and q by y, then add the two expressions together.
B) Start by rewriting these as
-10x + 5y = (p-230)
4x - 4y = (q-130)
Make a matrix out of the left and apply Cramer's Rule. You'll get x and y in terms of p and q. Now just replace the x and y in R = xp + yq with the expressions you just found.
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