Page 29 - How To Solve Word Problems In Calculus
P. 29
perspective, we observe two D 6 E
similar triangles:
ABC is
similar to
ADE.
2r 6
= B 2r C
h 10 10
20r = 6h
h
3h
r =
10
A
Substituting into the volume equation in step 2, we obtain
2
π 3h
V(h) = h
3 10
π 9h 2
= · · h
3 100
3π 3
V(h) = h
100
Business and Economics Problems
Problems arising in business and economics generally deal
with money. Revenue is the amount of money taken in by a
company when selling a product, cost is the money paid out
by the company for wages, material, rent, and so forth, and
profit is the difference between revenue and cost. Negative
profit indicates a loss.
EXAMPLE 11
A machine can produce 12 clay figures per hour. It costs
$750 to set up the machine and $6 per hour to run the
machine. Each clay figure requires $2 of material (clay) to pro-
duce. If each clay figure will sell for $10, express the revenue,
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