e Party Connection prepares complete party kits for various types of celebrations. It is currently operating at 80% of its capacity. It costs The Party Connection $20.50 to make a packet that it sells for $25.00. It currently makes and sells 84,000 packets per year. Detailed information attached   The Party Connection has received a special order request for 25,000 packets at a price of $23 per packet to be shipped overseas. Suppose the following information is discovered with further analysis: o       The per unit overhead cost of $0.50 is 50% variable ($0.25) and 50% fixed ($0.25). o       The per unit Selling costs of $1.75 is 26.67% variable ($0.47) and 73.33% fixed ($1.28). o       Administrative expenses would not change.

Economic Dispatch Question It is required to investigate the economic dispatch of three power plants located in the western part of Victoria. The total load (PD) to be supplied by those power plants is 1500 MW. Assume the cost functions and the generation limits for these power plants are as follows. 350+ 4.2 P₁ + 0.006 P² 600 + 3.1 P₂ + 0.004 P² 500+ 4.2 P3 +0.007 P3 a) b) c) Plant 1: C₁ Plant 2: C₂ Plant 3: C3 = = = 150 ≤ P₁ ≤ 550 350 ≤ P₂ ≤ 700 120 ≤P3 ≤ 400 If the total load is shared among the three power plants equally, what is power generation of each power plant and what is the total operating cost in $/hr in this case. Find the optimal (economic) dispatch of each plant, the incremental operating cost 1, and the total operation cost in $/hr. (You don't need to use the iteration method). If it is expected that those power plant will operate in average 18 hrs a day, how much saving in cost if the economic dispatch operation with shared power operation (in part a).

A company manufactures two types of leaf blowers: an electric Turbo model and a gas-powered Tornado model. The company's production plan calls for the production of at least 690 blowers per month. It costs $74 to produce each Turbo model and $111 to manufacture each Tornado model, and the company has at most $63,640 per month to use for production. Find the number of units that should be produced to maximize profit for the company, and the maximum profit, if the profit on each Turbo model is $35 and the profit on each Tornado model is $40. The maximum value is $ by producing integers or decimals.) units of the Turbo model and units of the Tornado model. (Type

Jenny Tanaka wants to buy a new car, and the annual gasoline expense is a major consideration. Her present car gets 25 miles per gallon (mpg), and she is considering purchasing a new car that gets 40 mpg. Jenny now drives about 12,000 miles per year and pays $3.25 per gallon of gasoline. She therefore calculates an annual gasoline consumption of 480 gallons for her 25 mpg car (12,000 miles/25 mpg) compared to 300 gallons consumed per year for the 40 mpg car (12,000 miles/40 mpg). Since driving the higher- mileage car would use 180 gallons less per year, Jenny estimates the new car will save her $585 in gasoline expense per year (180 gallons 3 $3.25 per gallon). Suppose Jenny buys the 40 mpg car. According to economic theory, Jenny's actual annual savings on gasoline will be 7 1 C 1 U C VI 10 V K W S TACAZEC 10 GUNS TOMBER 2 than her initial estimate of $585.