Q.I Suppose a simple economy with only an agriculture industry and a steel industry with the following technology matrix. Find the gross production of each industry if surpluses of 15 units of agriculture products and 35 units of steel are desired. A 0.3 0.2 Agrikulture A = 0.1 0.4 ted
Q.I Suppose a simple economy with only an agriculture industry and a steel industry with the following technology matrix. Find the gross production of each industry if surpluses of 15 units of agriculture products and 35 units of steel are desired. A 0.3 0.2 Agrikulture A = 0.1 0.4 ted
Elementary Linear Algebra (MindTap Course List)
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![Q.1 Suppose a simple economy with only an agriculture industry and a
steel industry with the following technology matrix. Find the gross
production of each industry if surpluses of 15 units of agriculture products
and 35 units of steel are desired.
A
[0.3 0.2] Agricukue
A =
0.1 0.4 Sed
Q. 2 (a) find the derivatives for the following functions.
(i) у %3D 5х - 6х3 (ii) (x*+5) / (х+3) (iї) у %3D (4х-1) (x? +6х - 3) (iv) у %3
(3x² + 2x + 1)
Q.2 (b) if the profit function for a product is P (x) = 5600x + 85 x² - x'
200,000 dollars, selling how many items, x, will produce maximum profit?
Find the maximum profit.
Q.3 (a) for the following quadratic equation, determine (i) which way
parabola open (ii) the coordinates of vertex (iii) the roots of the function P
90х — 200 -х?
Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x and
total revenue function given by R(x) = 385x – 0.9x?, find the break-even
points.
%3D
%3D
Q.4 Solve using Cramer's rule and inverse matrix method for the
following equations
Зх + 3у-1 %3D0
-x + 4y +10 = 0
Q.5 (a) Retailers will buy 45 cordless phones from a wholesaler if the
price is $10 each but only 20 if the price is $60. The wholesaler will
supply 35 phones at $30 each and 70 at $50 each. Assuming the supply
and demand functions are linear, find the market equilibrium point.
Q.5(b) Write the equation for the following conditions:
i) slope = 4, y-intercept = 2
ii) through (-2,1) with slope 2/5
iii) through (2,4) and (-1,-4)
iv) through (1, 6) and parallel to y = 4x - 6
v) through (-1,2) and perpendicular to 3x + 4y = 12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F004f815e-a43a-41fd-8b53-54528018b631%2F15787e0b-3157-4766-8f5d-b6341119628a%2Fi7vhp95_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.1 Suppose a simple economy with only an agriculture industry and a
steel industry with the following technology matrix. Find the gross
production of each industry if surpluses of 15 units of agriculture products
and 35 units of steel are desired.
A
[0.3 0.2] Agricukue
A =
0.1 0.4 Sed
Q. 2 (a) find the derivatives for the following functions.
(i) у %3D 5х - 6х3 (ii) (x*+5) / (х+3) (iї) у %3D (4х-1) (x? +6х - 3) (iv) у %3
(3x² + 2x + 1)
Q.2 (b) if the profit function for a product is P (x) = 5600x + 85 x² - x'
200,000 dollars, selling how many items, x, will produce maximum profit?
Find the maximum profit.
Q.3 (a) for the following quadratic equation, determine (i) which way
parabola open (ii) the coordinates of vertex (iii) the roots of the function P
90х — 200 -х?
Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x and
total revenue function given by R(x) = 385x – 0.9x?, find the break-even
points.
%3D
%3D
Q.4 Solve using Cramer's rule and inverse matrix method for the
following equations
Зх + 3у-1 %3D0
-x + 4y +10 = 0
Q.5 (a) Retailers will buy 45 cordless phones from a wholesaler if the
price is $10 each but only 20 if the price is $60. The wholesaler will
supply 35 phones at $30 each and 70 at $50 each. Assuming the supply
and demand functions are linear, find the market equilibrium point.
Q.5(b) Write the equation for the following conditions:
i) slope = 4, y-intercept = 2
ii) through (-2,1) with slope 2/5
iii) through (2,4) and (-1,-4)
iv) through (1, 6) and parallel to y = 4x - 6
v) through (-1,2) and perpendicular to 3x + 4y = 12
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