A company that manufactures tennis racquets has developed the following formulas to predict its costs and revenue as a function of the number of racquets produced. Production costs: C=32x+120,000
Sales revenue: R=x(200−0.01x)

How many racquets should the company sell to maintain a profit of at least $500,000?

Note: Revenue means how much money the company is bringing in (before costs); Profit is how much the company makes after accounting for costs.