Cost function. A small manufacturing company produces two models of a surfboard: a standard model and a competition model. If the standard model is produced at a variable cost of $210 each and the competition model at a variable cost of $300 each, and if the total fixed costs per month are $6,000. then the monthly cost function is given by C ( x , y ) = 6 , 600 + 210 x + 300 y where x and y are the numbers of standard and competition models produced per month, respectively. Find C (20, 10), C (50, 5), and C (30, 30).
Cost function. A small manufacturing company produces two models of a surfboard: a standard model and a competition model. If the standard model is produced at a variable cost of $210 each and the competition model at a variable cost of $300 each, and if the total fixed costs per month are $6,000. then the monthly cost function is given by C ( x , y ) = 6 , 600 + 210 x + 300 y where x and y are the numbers of standard and competition models produced per month, respectively. Find C (20, 10), C (50, 5), and C (30, 30).
Solution Summary: The author calculates the monthly cost function C(x,y) that represents the cost of standard and competition surfboards (in dollars).
Cost function. A small manufacturing company produces two models of a surfboard: a standard model and a competition model. If the standard model is produced at a variable cost of $210 each and the competition model at a variable cost of $300 each, and if the total fixed costs per month are $6,000. then the monthly cost function is given by
C
(
x
,
y
)
=
6
,
600
+
210
x
+
300
y
where x and y are the numbers of standard and competition models produced per month, respectively. Find C(20, 10), C(50, 5), and C(30, 30).
Q/Determine the set of points at which
-
f(z) = 622 2≥ - 4i/z12
i
and
differentiable
analytice
is:
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Chapter 7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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