## Related questions with answers

The Modern Language Association plans a three-day meeting. The program committee requests 15 overhead projectors for the first day, 28 for the second day, and 19 for the third day. Projectors may be rented for a single day for $17, and they may be rented for two consecutive days for$30. How many should be rented for a single day and how many should be rented for two consecutive days to minimize rental costs?

Solution

VerifiedFirstly we are going to set the substitution. We are going to determine the possible ways to rent the projectors for one day or two days in the span of three days. Since there are $3$ ways to rent a projector for one day and $2$ ways to rent a projector for two days, we are going to label those days as $x_1$, $x_2$, $x_3$, $x_4$, and $x_5$ where $x_1$, $x_2$, and $x_3$ represent the projectors bought in first, second and third day respectively, and $x_4$ and $x_5$ represent the projectors bought in a first and second, and a second and third day respectively.

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