COST OF A COMMODITY A manufacturer obtained the following data relating the cost y (in dollars) to the number of units ( x ) of a commodity produced. Units Produced, x 0 20 40 60 80 100 Cost in Dollars, y 200 208 222 230 242 250 a. Plot the cost ( y ) versus the quantity produced ( x ) . b. Draw a straight line through the points ( 0 , 200 ) and ( 100 , 250 ) . c. Derive an equation of the straight line of part ( b ) . d. Taking this equation to be an approximation of the relationship between the cost and the level of production, estimate the cost of producing 72 units of the commodity.
COST OF A COMMODITY A manufacturer obtained the following data relating the cost y (in dollars) to the number of units ( x ) of a commodity produced. Units Produced, x 0 20 40 60 80 100 Cost in Dollars, y 200 208 222 230 242 250 a. Plot the cost ( y ) versus the quantity produced ( x ) . b. Draw a straight line through the points ( 0 , 200 ) and ( 100 , 250 ) . c. Derive an equation of the straight line of part ( b ) . d. Taking this equation to be an approximation of the relationship between the cost and the level of production, estimate the cost of producing 72 units of the commodity.
COST OF A COMMODITY A manufacturer obtained the following data relating the cost
y
(in dollars) to the number of units
(
x
)
of a commodity produced.
Units Produced,
x
0
20
40
60
80
100
Cost in Dollars,
y
200
208
222
230
242
250
a. Plot the cost
(
y
)
versus the quantity produced
(
x
)
.
b. Draw a straight line through the points
(
0
,
200
)
and
(
100
,
250
)
.
c. Derive an equation of the straight line of part
(
b
)
.
d. Taking this equation to be an approximation of the relationship between the cost and the level of production, estimate the cost of producing
72
units of the commodity.
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