In Problem 41, suppose that the income for hitting oil is changed to \(\$ 825,000\) and the income for gas to \(\$ 225,000\). Now what is the expectation for the drilling company? Should the company sink the test well?

Data from problem 41

An oil-drilling company knows that it costs \(\$ 25,000\) to sink a test well. If oil is hit, the income for the drilling company will be \(\$ 425,000\). If only natural gas is hit, the income will be \(\$ 125,000\). If nothing is hit, there will be no income. If the probability of hitting oil is \(1 / 40\) and if the probability of hitting gas is \(1 / 20\), what is the expectation for the drilling company? Should the company sink the test well?