Components | Number of components | ||
---|---|---|---|
Monday | Tuesday | Wednesday | |
A | 3 | 6 | 3 |
B | 6 | 3 | 4 |
C | 4 | 7 | 4 |
A factory assembles Product X from three components, A, B, and C. One of each component is needed for each Product X and all three components must be available when assembly of each Product X starts. It takes two days to assemble one Product X. Assembly of each Product X starts at the beginning of one day and is finished at the end of the next day. The factory can work on at most five Product Xs at once. If components are available each day as shown in the table above, what is the largest number of Product Xs that can be assembled during the three days covered by the table?
x | C(x) |
---|---|
0 10 20 30 40 50 | 25,000 24,919 24,846 24,781 24,724 24,675 |
A certain manufacturer uses the function C (x) = 0.04x 2 – 8.5x + 25,000 to calculate the cost, in dollars, of producing x thousand units of its product. The table above gives values of this cost function for values of x between 0 and 50 in increments of 10. For which of the following intervals is the average rate of decrease in cost less than the average rate of decrease in cost for each of the other intervals?