Required information The Childfair Company has three plants producing child push chairs that are to be shipped to four distribution centers. Plants 1, 2, and 3 produce 12, 17, and 11 shipments per month, respectively. Each distribution center needs to receive 10 shipments per month. The distance from each plant to the respective distributing centers is given below: 1+ | 2 | 3 [ 4 | - 850 miles 1,350 miles 450 miles 750 miles Plant i s i g 1,150 miles 1,450 miles | 650 miles [ 1,050 miles 650 miles 1,250 miles 850 miles 950 miles The freight cost for each shipment is $100 plus 50 cents per mile. Obtain an optimal solution, and determine the total cost. Total cost=$ 2 Required information Hemant would like 13 pints of home brew today and an additional 14 pints of home brew tomorrow. Dick is willing to sell a maximum of 15 pints total at a price of $3.00 per pint today and $2.70 per pint tomorrow. Mihir is willing to sell a maximum of 14 pints total at a price of $2.90 per pint today and $2.80 per pint tomorrow. 2 points Hemant wishes to know what his purchases should be to minimize his cost while satisfying his thirst requirements. eBook Ask References Obtain an optimal solution. Total cost=$ ; Required information The Move-It Company has two plants producing forklift trucks that then are shipped to three distribution centers. The production costs are the same at the two plants, and the cost of shipping for each truck is shown for each combination , of plant and distribution center: oints Distribution Center 2 | 3 | eBook $720 $420 $820 $520 Ask References A total of 60 forklift trucks are produced and shipped per week. Each plant can produce and ship any amount up to a maximum of 50 trucks per week, so there is considerable flexibility on how to divide the total production between the two plants so as to reduce shipping costs. However, each distribution center must receive exactly 20 trucks per week. Management's objective is to determine how many forklift trucks should be produced at each plant, and then what the overall shipping pattern should be to minimize total shipping cost. Obtain an optimal solution. Total cost=$ Task 2 W 4 4 6 U7 A B 6 5 W 4 Assignee 7 8 4 6 D 6 7 5 6 points This problem can be formulated as a transportation problem by constructing the given parameter table: eBook Unit Cost ($) Ask Task N 3 4 Supply References O Assignee A 8 6 7 B 6 5 W 4 8 4 6 D 6 6 O Demand O 0 True or FalseFour cargo ships will be used for shipping goods from one port to four other ports (labeled 1, 2, 3, 4). Any ship can be used for making any one of these four trips. However, because of differences in the ships and cargoes, the total cost of loading, transporting, and unloading the goods for the different ship-port combinations varies considerably, as shown in the following table: Sp 1| $500 | $400 | 600 | 700 7 o [ ao | o |0 s e e a0 References Is the parameter table formulated below an equivalent transportation problem? Source Ask T I 2 [ e 3 [ 70 & [ s0 (Demond [ 1| 6 Required information The Versatech Corporation has decided to produce three new products. Five branch plants now have excess product capacity. The unit manufacturing cost of the first product would be $39, $37, $40, $36, and $37 in Plants 1, 2, 3, 4, and 5, respectively. The unit manufacturing cost of the second product would be $53, $49, $54, $50, and $51in Plants 1, 2, 2 _ 3, 4, and 5, respectively. The unit manufacturing cost of the third product would be $46, $43, and $48 in Plants 1, 2, points and 3, respectively, whereas Plants 4 and 5 do not have the capability for producing this product. The sales forecasts are 240, 400, and 320 units per day of products 1, 2, and 3, respectively, and that each plant now has the capacity to produce all that is required of any one product. Therefore, management has decided that each new product should be eBook assigned to only one plant and that no plant should be assigned more than one product (so that three plants are each to be assigned one product, and two plants are to be assigned none). The objective is to make these assignments so Ask as to minimize the total cost of producing these amounts of the three products. References Obtain an optimal solution. The optimal cost is $