Constraints: 40V + 56C > 560 72V + 24C > 432 12V + 12C > 144 Objective: Costs 96V + 94C Graph: 201 19 18 17 16 15 14 13 12 10 4 3 2 3 4 5 7 8 9.1o 11 12 13 14 15 16 17 18 19 20 Venus Solution: Venus: Colossus: Çolossus a do N 6n

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Constraints:
40V + 56C > 560
72V + 24C > 432
12V + 120 > 144
Objective:
Costs = 96V + 94C
Graph:
201
19
18-
17+
16
15
14-
12
10
4
9.10 11 12N3 14 15 16 17 18 19 20
Venus
2
3
4 5
Solution:
Venus:
Colossus:
Colossus
Transcribed Image Text:Constraints: 40V + 56C > 560 72V + 24C > 432 12V + 120 > 144 Objective: Costs = 96V + 94C Graph: 201 19 18- 17+ 16 15 14- 12 10 4 9.10 11 12N3 14 15 16 17 18 19 20 Venus 2 3 4 5 Solution: Venus: Colossus: Colossus
A studio that makes statuettes is trying to minimize its costs. Their two primary
products are the Venus and Colossus statuettes. Each Venus requires 40 hours of
machine time to rough cut the shape and 72 hours of craftsman time to finish the
details. The Colossus requires 56 hours on the machines and 24 hours with the
craftsman's hand. The studio has pre-paid for 560 hours of machine time and 432
hours of craftsman time, so they want to use at least that much each day. Both use
12 pounds of stone. The studio needs to use at least 144 pounds of stone per day to
keep their warehouses from overflowing. If each Venus incurs costs of ninety-six
dollars, and each Colossus is ninety-four dollars, how many statuettes of each type
should the studio make each day?
Constraints:
40V + 56C > 560
72V + 24C > 432
12V + 12C > 144
Objective:
Costs = 96V + 94C
Transcribed Image Text:A studio that makes statuettes is trying to minimize its costs. Their two primary products are the Venus and Colossus statuettes. Each Venus requires 40 hours of machine time to rough cut the shape and 72 hours of craftsman time to finish the details. The Colossus requires 56 hours on the machines and 24 hours with the craftsman's hand. The studio has pre-paid for 560 hours of machine time and 432 hours of craftsman time, so they want to use at least that much each day. Both use 12 pounds of stone. The studio needs to use at least 144 pounds of stone per day to keep their warehouses from overflowing. If each Venus incurs costs of ninety-six dollars, and each Colossus is ninety-four dollars, how many statuettes of each type should the studio make each day? Constraints: 40V + 56C > 560 72V + 24C > 432 12V + 12C > 144 Objective: Costs = 96V + 94C
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