Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of the situation. Machine Setup cost($) Production cost/unit($) Capacity (units) 1 300 2 650 100 10 850 3 200 5 1250 If we want to formulate the problem as an ILP/BIP, which of the following would be the appropriate objective function? Your answer: 4 O Min. Z = 300x₂ +100x₂ + 200x3 + 2x₁ + 10x₂ + 5x O Min. Z = 2x₁ + 10x₂ + 5x Min. Z = 2x₁ + 10x2 + 5x3 + 300y₁ +100y₂ + 200³ + Min. Z = 300y₁ + 100y₂ + 2003 O 2

Every summer, the city of Rehoboth Beach hires temporary lifeguards to monitor the swimming areas within city limits. The lifeguards are assigned to work five consecutive days each week and then have two days off. The city’s insurer requires them to have at least this many lifeguards on duty each day of the week: Sun Mon Tues Wed Thurs Fri Sat 18 17 15 16 15 18 20   Formulate an ILP for this problem. objective function and constraints

3. The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm's short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ² where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners pro- duced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 VARIABLE INTERCEPT Q Q2 Show Transcribed Text PARAMETER ESTIMATE 191.93 -0.0305 0.0000024 Ĵ 0.7360 STANDARD ERROR 54.65 39.428 T-RATIO 3.512 0.00789 23.866 0.00000098 2.449 0.0001 P-VALUE 0.0029 0.0014 0.0262 a. Are the estimates â, b, and ĉ statistically significant at the 2 percent level of significance? b. Do the results indicate that the average variable cost curve is U-shaped? How do you know? c. If Argus Corporation produces 8,000 vacuum cleaners per month, what is the estimated average variable cost? Marginal cost? Total…

need comprehensive and correct answers.This question is about optimization.