The operating costs of a swimsuit distributor are $120,000 per year plus $23 per swimsuit. The current partners have 500,000 to spend and are considering a new partner who has $150,000. How many swimsuits can they produce with and without the new partner?
120,000 + 23x = 500,000 This is our equation.
thank you :)
Let's solve for \(x\) to see how many swimsuits they can produce without the new partner. \(120,000 + 23x = 500,000\) \(23x = 380,000\) \(x \approx 16521.74\)
Well, \(x \approx 16,521\)
Our equation changes with the new partner: \(120,000 + 23x = 500,000 + 150,000\) Simplify: \(120,000 + 23x = 650,000\) Solve: \(120,000 + 23x = 650,000\) \(23x = 530,000\) \(x \approx 23,043\)
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