4. A company makes two kinds of gears: standard and heavy-duty. The process requires 2 steps. The table below shows the time and labour cost for each step. Step 1 Step 2 Standard 8 min. 3 min. Heavy-duty 10 min. 10 min. The company is required to use at least 200 hours of labour per week on Step 1, and 140 hours of labour per week on Step 2. The materials cost $15.00 for each standard gear and $22 for each heavy- duty gear. How many of each gear should the company produce to minimize costs? What is the minimum cost?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. A company makes two kinds of gears: standard and heavy-duty. The process requires 2 steps. The
table below shows the time and labour cost for each step.
Step 1
Step 2
Standard
8 min.
3 min.
Heavy-duty 10 min. 10 min.
The company is required to use at least 200 hours of labour per week on Step 1, and 140 hours of
labour per week on Step 2. The materials cost $15.00 for each standard gear and $22 for each heavy-
duty gear. How many of each gear should the company produce to minimize costs? What is the
minimum cost?
Transcribed Image Text:4. A company makes two kinds of gears: standard and heavy-duty. The process requires 2 steps. The table below shows the time and labour cost for each step. Step 1 Step 2 Standard 8 min. 3 min. Heavy-duty 10 min. 10 min. The company is required to use at least 200 hours of labour per week on Step 1, and 140 hours of labour per week on Step 2. The materials cost $15.00 for each standard gear and $22 for each heavy- duty gear. How many of each gear should the company produce to minimize costs? What is the minimum cost?
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