Question
The revenue R for a company selling x units is R = 1100x 0.1x2. Use differentials to approximate the change in revenue if sales increase
The revenue R for a company selling x units is R = 1100x 0.1x2. Use differentials to approximate the change in revenue if sales increase from x = 1000 to x = 1100 units.
STEP 1: Begin by differentiating the equation of R in terms of x. dR dx =1100-0.2x Correct: Your answer is correct.
STEP 2: Approximate R by solving for dR. R dR = Incorrect: Your answer is incorrect. dx
STEP 3: Solve the equation for dR by substituting the relevant variables. dR = 880 Incorrect: Your answer is incorrect
. STEP 4: Select the relevant conclusion.
The revenue increases by $90,000.
The revenue is $1,089,000.
The revenue decreases by $1,000.
The revenue is $1,000,000.
The revenue increases by $1,100.
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