revenue r = price * quantity = p*x = 70000p/√(3p+1)
dr/dt = 70000 * (3p+2)/(3p+1)^(3/2) dp/dt
so plug in your numbers for p and dp/dt
A company selling widgets has found that the number of items sold x
depends upon the price p at which they're sold, according the equation
x=70000 /(√3p+1) .
Due to inflation and increasing health benefit costs, the company has been increasing the price by $4 per month. Find the rate at which revenue is changing when the company is selling widgets at $180 each.
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4 answers