A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are presented in the table below. There are 8 hours of production per day. Table 1 Other data Production Demand Inventory carrying cost Subcontracting cost per unit $12 per unit Average pay rate Overtime pay Rate $8 per unit per month Month Days Forecast 1 January 2 February 3 March 4 April 5 May 6 950 $5 per hour ($40 per day) $7 per hour (above 8 hrs per day) 1.6 hrs per unit $300 per unit 22 18 21 21 750 750 1,000 1,300 1,050 Labor-hours per unit Cost of increasing daily production rate (hiring & training) Cost of decreasing daily production rate (layoffs) 22 20 June $600 per unit This exercise only contains part b. b) Juarez has yet a sixth plan. A constant workforce of 7 is selected, with the remainder of demand filled by subcontracting. Evaluate this plan. The production rate per day = units. (Enter your response as a whole number.) Fill in the table below. (Enter your responses as whole numbers.) Regular Production Subcontract (Units) Month Demand 1 January 950 2 February 750 3 March 750 4 April 1,000 5 May 1,300 6 June 1,050 The total regular production cost = $ (Enter your response as a whole number.) The total subcontracting cost = $ (Enter your response as a whole number.) Total cost with plan 6 = $ (Enter your response as a whole number.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Can you assist me with Question 3.3. Thank you kindly
A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are
presented in the table below. There are 8 hours of production per day.
Table 1
Other data
Production
Demand
$8 per unit per month
Inventory carrying cost
Subcontracting cost per unit $12 per unit
Average pay rate
Overtime pay Rate
Month
Days
Forecast
$5 per hour ($40 per day)
$7 per hour (above 8 hrs per
day)
1.6 hrs per unit
$300 per unit
January
2 February
1
22
950
18
750
21
21
22
20
3 March
750
Labor-hours per unit
Cost of increasing daily
production rate (hiring &
training)
Cost of decreasing daily
production rate (layoffs)
4 April
5 May
6 June
1,000
1,300
1,050
$600 per unit
This exercise only contains part b.
b) Juarez has yet a sixth plan. A constant workforce of 7 is selected, with the remainder of demand filled by subcontracting. Evaluate this plan.
The production rate per day = units. (Enter your response as a whole number.)
Fill in the table below. (Enter your responses as whole numbers.)
Regular
Production
Subcontract
Month
Demand
(Units)
January
950
2 February
750
3
March
750
4 April
1,000
5 May
1,300
6 June
1,050
The total regular production cost = $
(Enter your response as a whole number.)
The total subcontracting cost = $
(Enter your response as a whole number.)
Total cost with plan 6 = $
(Enter your response as a whole number.)
Transcribed Image Text:A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are presented in the table below. There are 8 hours of production per day. Table 1 Other data Production Demand $8 per unit per month Inventory carrying cost Subcontracting cost per unit $12 per unit Average pay rate Overtime pay Rate Month Days Forecast $5 per hour ($40 per day) $7 per hour (above 8 hrs per day) 1.6 hrs per unit $300 per unit January 2 February 1 22 950 18 750 21 21 22 20 3 March 750 Labor-hours per unit Cost of increasing daily production rate (hiring & training) Cost of decreasing daily production rate (layoffs) 4 April 5 May 6 June 1,000 1,300 1,050 $600 per unit This exercise only contains part b. b) Juarez has yet a sixth plan. A constant workforce of 7 is selected, with the remainder of demand filled by subcontracting. Evaluate this plan. The production rate per day = units. (Enter your response as a whole number.) Fill in the table below. (Enter your responses as whole numbers.) Regular Production Subcontract Month Demand (Units) January 950 2 February 750 3 March 750 4 April 1,000 5 May 1,300 6 June 1,050 The total regular production cost = $ (Enter your response as a whole number.) The total subcontracting cost = $ (Enter your response as a whole number.) Total cost with plan 6 = $ (Enter your response as a whole number.)
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