A company's productive capacity is 480,000 machine hours. Product \(X\) requires 10 machine hours to produce; Product \(Y\) requires 2 machine hours to produce. Product \(X\) sells for \(\$ 32\) per unit and has variable costs of \(\$ 12\) per unit; Product \(Y\) sells for \(\$ 24\) per unit and has variable costs of \(\$ 10\) per unit. Assuming that the company can sell as many of either product as it produces, it should

a. Produce 48,000 units of Product \(X\).

b. Produce \(X\) and \(Y\) in the ratio of \(83 \% X\) and \(17 \% Y\).

c. Produce two of Product \(\mathrm{X}\) for every one of Product \(\mathrm{Y}\).

d. Produce only Product \(X\).

e. Produce only Product \(Y\).