Question

In: Other

C&A makes two types of products using four machines from 9 a.m. to 5 p.m. each...

C&A makes two types of products using four machines from 9 a.m. to 5 p.m. each day. Product A visits machines 1, 2, and 4. Product B only visits machines 1 and 3. The capacity is 0.4 unit per minute at machine 1, 0.12 unit per minute at machine 2, 0.2 unit per minute at machine 3, and 0.3 unit per minute at machine 4. The demand per day is 40 units for Product A and 160 units for Product B. Which is the implied utilization for the bottleneck resource?

  • 0.69
  • 1.04
  • 0.28
  • 1.67

Solutions

Expert Solution

Total available time for each machine ( 9 AM TO 5 PM) = 8 hours = 480 minutes

Thus maximum capacity of machine 1 during above time ( 0.4 unit per minute) = 480 x 0.4 = 192 units

Maximum capacity of Machine 2 during above time ( 0.12 unit per minute) = 480 x 0.12 = 57.6 units

Maximum capacity of machine 3 during above time ( 0.2 unit per minute) = 480 x 0.2 = 96 units

Maximum capacity of machine 4 during above time ( 0.3 unit per minute) = 480 x 0.3 = 144 units

Against above capacity, number of units which must pass through each machine for 40 units of Product A and 160 units of Product B :

Machine

Maximum capacity

Number of units which must pass through

1

192

40 +160 = 200

2

57.6

40

3

96

160

4

144

40

The bottleneck capacities are those , when:

Number of units which must pass through > Maximum capacity

Accordingly Bottleneck machines are : Machine 1 and Machine 3

Implied utilization of such bottleneck machine

= Number of units which must pass through/ Maximum capacity

Thus Bottleneck capacity of Machine 1 = 200/192 = 1.04 ( rounded to 2 decimal places)

Bottleneck capacity of Machine 3 = 160/96 = 1.67 ( rounded to 2 decimal places )

Thus largest bottleneck from above data is Machine 3 with implied utilization of 1.67

IMPLIED UTILIZATION FOR THE BOTTLENECK RESOURCE = 1.67


Related Solutions

Club Fitness is open from 5 A.M. until 9 P.M. Monday through Saturday. The gym is...
Club Fitness is open from 5 A.M. until 9 P.M. Monday through Saturday. The gym is closed on Sundays and holidays. Hank Hunkley, the owner, is considering offering 24-hour, 7-day-a-week, 365-days-a year access for an additional $59 a year per member. In exchange for the extra fee, the member would receive a magnetic fob that will unlock the door when the facility is closed. Each fob would cost Hank $5. Based on a survey taken of his 951 current members,...
A toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to...
A toll-free phone number is available from 9 a.m. to 9 p.m. for your customers to register complaints about a product purchased from your company. Past history indicates that an average of 1.0 calls are received per minute. Complete parts (a)through (c). A.    what is the probability that during a 1 min period zero phone calls will be received? B.    what is the probability that during a 1 min period three or more phone calls will be received? C.    what is the maximum...
A toll-free phone number is available from 9 a.m. to 9 p.m. to customers who want...
A toll-free phone number is available from 9 a.m. to 9 p.m. to customers who want to register a complaint about a product purchased from your company. Past history indicates that, on average, 0.4 calls are received per hour. (a) Decide what would be an appropriate distribution to describe the process [2] of people making complaints. Give a justification of your answer, in at most one sentence. (b) Using the distribution in (a), find the following probabilities: (i) the probability...
Using each of the four market segmentation strategies, give examples for types of products where using...
Using each of the four market segmentation strategies, give examples for types of products where using that segmentation strategy would make sense. Justify your ideas.
On a 9:00 a.m. Atlanta to Chicago flight for two weeks from today, 70 of the...
On a 9:00 a.m. Atlanta to Chicago flight for two weeks from today, 70 of the 170 seats have been des- ignated for business class fares ($559), but only 40 of these 70 seats have been sold. The remaining 100 seats have been authorized for sale at the economy fare of $259 and all 100 of these seats have been sold. A new reservation request arrives for an economy fare seat. Explain the opportunity cost of reallocating one seat from...
A company operates four machines (A, B, C, D) in three shifts each day. From production...
A company operates four machines (A, B, C, D) in three shifts each day. From production records, the following data on the number of breakdowns are collected. Is there sufficient evidence to conclude that that breakdowns are independent of the shift? (1 pt) A B   C D Shift-1 41 20 12 16 Shift-2 31 11 9 14 Shift-3 15 17 16 10
A certain company makes two products: P₁ and P₂ . Each P₁ requires 5 kg of...
A certain company makes two products: P₁ and P₂ . Each P₁ requires 5 kg of material M and 3 kg of matetrial N. Each P₂ requires 3 kg of M and 3 kg of N. In the warehouse, there are 350 kg of M and 270 kg of N available. The profit is $50 for each P₁ and $40 for each P₂. What mis of P₁ and P₂ products should the company make and sell in order to maximize...
Suppose that an economy produces only two types of products: machines and clothing. The table below...
Suppose that an economy produces only two types of products: machines and clothing. The table below shows the total production per week, assuming that production in both Product is based on the optimal use of resources. Required: ( Answers should be computerized ) 1 - Draw and Plot the production potential of this economy, then calculate the cost of the opportunity for each distribution, what do you notice about the graph and the cost of the opportunity? 2- Can the...
Bowen Company makes two products from a joint production process. Each product may be sold at...
Bowen Company makes two products from a joint production process. Each product may be sold at the split-off point or processed further. Information concerning these products for last year appears below: Product X Product Y Allocated joint costs .................. $25,000 $17,000 Sales value after further processing ... $41,000 $47,000 Sales value at the split-off point ..... $29,000 $23,000 Additional processing costs ............ $19,000 $15,000 Assume Bowen Company makes all the correct sell or process further decisions. Calculate the net income...
A firm makes two products and Each und of costs $10 and sells for $40. Each unit of Z costs $5 and sells for $25
A firm makes two products and Each und of costs $10 and sells for $40. Each unit of Z costs $5 and sells for $25. If the firm's goal were to maximira profit, what would be the appropriate objective function?  
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT