A company has a budget of $100,000 to spend on recording and promoting a new DVD.
The company estimates that if it spends x thousand euros on recording and y thousand euros on promotion, it will wall approximately 6yx^2/3 units of DVDs
a) Use the Lagrange multiplier method to show how the company should allocate its budget to maximize sales?
b) Estimate the maximum sales if the budget is
1: increased by $1000
2: decreased by $1000