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The organizers of a conference need to prepare at least 200 notepads for the event and have a budget of $160 for the notepads. A store sells notepads in packages of 24 and packages of 6. Explain what the second inequality in the system tells us about the situation.

User Vintana
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Final answer:

The second inequality in the conference notepad budgeting problem represents the budget constraint that the total cost of notepad packages must not exceed $160. This is analogous to a consumer's budget problem, as highlighted by Alphonso's weekly allocation of $10 for burgers and bus tickets.

Step-by-step explanation:

In the context of the conference notepads budgeting problem, the second inequality likely refers to the constraint imposed by the organizers' budget limits. The situation can be likened to a typical consumer's budget problem, where the consumer needs to optimize what they can purchase with limited funds. For example, if we consider Alphonso's scenario, he has a weekly budget of $10 to spend on burgers and bus tickets. The cost trade-off here is similar to the notepad problem; the organizers need to find a balance between the quantity of notepads and the total cost, ensuring it does not exceed $160.

Alphonso's dilemma provides a clear illustration of how consumers (or organizers, in this case) need to make trade-offs within their budgets. If we apply this concept to the conference organizers, each combination of notepad packages they can buy—with packages of 24 or packages of 6—must not exceed their budget while still meeting or exceeding the requirement of 200 notepads. So, the second inequality would likely express that the total cost of buying 'x' packages of 24 notepads and 'y' packages of 6 notepads must not exceed $160.

User Kolaworld
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