Question $3\mathrm{.}1($Total: $16$ marks$)$ Kim's Convenience store has a variable demand. On a given day, demand ranges from $270$ to $330$ customers a day who average purchasing $5$ items each. The average daily demand is $300$ customers. The convenience store currently operates $12$ hours a day. Each order takes approximately $2$ minutes. Required $1.$ What is the average customer waiting time, in minutes? $2.$ What is the cycle time for an order? $3.$ What is the waiting time if the average daily demand remains at $300$ customers? Question $3\mathrm{.}2($Total: $15$ marks$)$ Fit$-$For$-$A$-$King Inc. manufactures foam products for several upholstery companies. This company has two workstations, mixing$/$heating and cutting$/$assembly$.$ The mixing$/$heating station is limited by the capacity of the equipment. Cutting$/$assembly is limited by the speed of the cutting machine workers. Cutting$/$assembly normally lags behind mixing$/$heating$.$ Because the demand has increased in recent months, management is considering adding another person to cutting$/$assembly$.$ This would increase the department's costs by $$4,000$ a month. If the person is moved from mixing$/$heating$,$ that department's cost would decline by $$3,000.$ By keeping mixing$/$heating laborer$$s the same, the department can increase production on$-$call by $10$ percent. Current idle time in mixing$/$heating averages one$-$half person a day for a net cost of $$1,400$ a month. Required $1.$ What is the net effect of moving the employee from mixing$/$heating to cutting$/$assembly$?2.$ What is the net effect if a new employee is hired for cutting$/$assembly$?$