At Elproparts Manufacturers' integrated circuit

business, managers gathered data from a customer

focus group and found that any output voltage that

exceeds $60+-3\mathrm{.}5$ volts was unacceptable to the

customer. Exceeding these limits results in an esti$-$

mated loss of $$90.$ However, the manufacturer can

still adjust the voltage in the plant using a quick

diagnostic test that costs $$3\mathrm{.}75.$

a$.$ Determine the Taguchi loss function.

b$.$ Suppose the nominal specification remains at

$60$ volts. At what tolerance should the inte$-$

grated circuit be manufactured?