Elly Machine Shop is considering the addition of a special type of bolt to its existing product line. Three alternative courses of action are available: a) Work overtime to meet the demand of the special bolt. Overtime expenses are estimated as $16000 per month. b) Install new equipment for which fixed expenses per month are expected as $83000. c) Rent a machine at the rate of $35000 per month. Manufacture cost associated with the above three alternatives are $9, $7 and $8 per bolt respectively. The price per bolt is fixed at $15 which is independent of the manufacturing alternatives. The expected demand per month for the bolt is as below: 10,000 pieces with a probability of 0.5 20,000 pieces with a probability of 0.3 50,000 pieces with a probability of 0.2