Nate's utility function over jelly, \(J\), and peanut butter, \(N\), is \(U=J N\). Nate's marginal utility from jelly is \(M U_{I}=N\), and his marginal utility from peanut butter is \(M U_{N}=J .{ }^{15}\) The price of a jar of jelly is \(\$ 5\). The price of a jar of peanut butter is \(\$ 10\). Nate has a budget of \(\$ 100\) to allocate to these two items. If Nate maximizes his utility, how much of each good does he consume?