Patrick owns an apartment building. The money he earns in a month depends on the rent he charges. The relationship can be modeled by:
\[ E = \frac{1}{50}R(1650 - R) \]
where \( E \) is Patrick's monthly earnings, in dollars, and \( R \) is the amount of rent, in dollars, he charges each tenant. If Patrick wants to earn at least $13,000, between what two values should he set the rent?
Answer (2)
To earn at least $13,000 per month, Patrick should set the rent between $500 and $1300 per tenant, as determined by the provided earnings model and solving the quadratic inequality. ;
To earn at least $13,000 per month, Patrick should set the rent between $750 and $900 per tenant, based on the quadratic inequality derived from his earnings model.
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