Question
Please do only the second part of question (do not write a code) ; ( Which toy(s) production should be focused on? Is there a
Please do only the second part of question (do not write a code) ; (
- Which toy(s) production should be focused on?
- Is there a toy that can be excluded from consideration for production?
- Is there a machine that is not fully utilized?
according to:
Number of Toy A to manufacture: 600.0 Number of Toy B to manufacture: 0.0 Number of Toy C to manufacture: 0.0 Number of Toy D to manufacture: 0.0 Number of Toy E to manufacture: 0.0 Number of Toy F to manufacture: 1200.0
Expected income: $6300.00
Production time on Machine 1: 4800.0 minutes Production time on Machine 2: 4800.0 minutes Production time on Machine 3: 1200.0 minutes Production time on Machine 4: 1200.0 minutes
Production time on Machine 1(H): 80.0 hours 0.0 minutes Production time on Machine 2(H): 80.0 hours 0.0 minutes Production time on Machine 3(H): 20.0 hours 0.0 minutes Production time on Machine 4(H): 20.0 hours 0.0 minutes
Johnson \& Sons company manufactures 6 types of toys. Each toy is produced by utilizing at least one Machine 14, requiring a different production time (see Table below). For instance, product A requires 4 minutes on Machine 1, 4 minutes on Machine 2, 0 Minutes on Machine 3, and 0 minutes on Machine 4 (all machines must be utilized to produce a toy unless the production time equals 0 ). Each machine is available for a different number of hours per week. The company aims to identify the number (product-mix) of toys that must be manufactured to maximize the income (can be continuous). Notably, each toy can be sold for a different price. Due to market expectations, the company wants to manufacture twice as many F toys as A. Furthermore, the number of toys B should equal C. Solve this problem using the PuLP library. Prepare a report (in the jupyter notebook) containing information on the following: 1. The number of toys to manufacture; 2. The expected income; 3. The production time required on each machine; Consider the total and partial values, i.e., considered for each toy A-F separately (e.g., income resulting from selling toy A). Also, answer the following questions concerning the found solution: 1. Which toy(s) production should be focused on? 2. Is there a toy that can be excluded from consideration for production? 3. Is there a machine that is not fully utilized
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started