Word Problem Section 2.2 A company produces a particular item. Total daily cost of production is shown in the linear cost function: C(x) = mx + b (which is in slope-intercept form). For this cost function, the y-intercept b represents the fixed costs of operation, the slope m represents the cost of each item produced, and x represents the number items produced. The total cost is the sum of the fixed costs, b, and the item costs, mx, of production. What is the x-value of the y-intercept of the graph of this linear cost function? So, the y-intercept of the graph of C(x) = mx + b is the point (___) What is the minimum number of items that can be produced by the company in a day? So, the minimum x-value for this function is 0. Suppose the company's daily fixed costs of production are $1000 and each of its items costs $60 to produce. A) Write a linear model that expresses the cost, C, of producing x items in a day. Linear model B) Graph the model C) What is the cost of producing 75 items in a day? Cost D) How many items are produced for a total daily cost of $3520? Number of items
Word Problem Section 2.2 A company produces a particular item. Total daily cost of production is shown in the linear cost function: C(x) = mx + b (which is in slope-intercept form). For this cost function, the y-intercept b represents the fixed costs of operation, the slope m represents the cost of each item produced, and x represents the number items produced. The total cost is the sum of the fixed costs, b, and the item costs, mx, of production. What is the x-value of the y-intercept of the graph of this linear cost function? So, the y-intercept of the graph of C(x) = mx + b is the point (___) What is the minimum number of items that can be produced by the company in a day? So, the minimum x-value for this function is 0. Suppose the company's daily fixed costs of production are $1000 and each of its items costs $60 to produce. A) Write a linear model that expresses the cost, C, of producing x items in a day. Linear model B) Graph the model C) What is the cost of producing 75 items in a day? Cost D) How many items are produced for a total daily cost of $3520? Number of items
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Word Problem
Section 2.2
A company produces a particular item. Total daily cost of production is shown in the linear cost
function: C(x) = mx + b (which is in slope-intercept form). For this cost function, the y-intercept b
represents the fixed costs of operation, the slope m represents the cost of each item produced, and x
represents the number items produced. The total cost is the sum of the fixed costs, b, and the item
costs, mx, of production.
What is the x-value of the y-intercept of the graph of this linear cost function?
So, the y-intercept of the graph of C(x) = mx + b is the point (___)
What is the minimum number of items that can be produced by the company in a day?
So, the minimum x-value for this function is 0.
Suppose the company's daily fixed costs of production are $1000 and each of its items costs $60 to produce.
A) Write a linear model that expresses the cost, C, of producing x items in a day.
Linear model
B) Graph the model
C) What is the cost of producing 75 items in a day?
Cost
D) How many items are produced for a total daily cost of $3520?
Number of items
Muced
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