MCV4U1 – UNIT THREE Lesson Four
LESSON 4: OPTIMIZATION PROBLEMS CONTINUED
1. A tool manufacturing company determines that when the level of production is x units, the cost of
production, in dollars, is modeled by the equation C x   0.05 x  9 x  300, 0  x  3000 . What level
C x 
of production will minimize the unit cost, which is given by U  x  
?
x
2. A can for vegetables is to have volume 350 cm 3 . The material for the top and bottom costs $0.50 / cm 2
while the material for the sides costs $0.30 / cm 2 . Determine the dimensions of the can that minimize
the cost of materials.
3. A store has been selling 200 DVD players a week at $350 each. A market survey indicates that for each
$10 decrease in price, the number of DVD players sold will increase by 20 per week. What should the
DVD price be to maximize profit?