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Gaurav Seth 4 years, 3 months ago
A firm manufactures two types of products A and B and sells them at a profit of Rs.5 per unit of type A and Rs.3 per unit of type B. Each product is processed on two machines M 1 and M 2 . One unit of type A requires one minutes of processing time on M 1 and two minutes of processing time on M 2 , whereas one unit of type B requires one minutes of processing time on M 1 and one minutes on M 2 . Machines M 1 and M 2 are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product should the firm produce a day in order to maximize the profit. Solve the problem graphically.
Answer:
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Gaurav Seth 4 years, 3 months ago
On July 7, HRD Minister Ramesh Pokhriyal announced a major CBSE syllabus reduction with 30% of the syllabus slashed for the year 2020-21 for classes 9 to 12 because of the reduction in classroom teaching time due to the Covid-19 pandemic and lockdown.
CBSE has rationalized the syllabus with the help of suggestions from NCERT and the same has been notified by a new CBSE notification as well.
Deleted syllabus of CBSE Class 12 Mathematics
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Gaurav Seth 4 years, 3 months ago
given function is ∫(x³ - )^⅓ x^5.dx
let (x³ - 1) = t , and x³ = (1 + t)
⇒3x² = dt/dx
⇒dx = dt/3x²
So, ∫(x³ - 1)^⅓ x^5 * dt/3x²
⇒1/3 ∫t^⅓ (1 + t) *dt
⇒1/3 ∫(t^⅓ + t^{4/3}).dt
⇒1/3 ∫t^{1/3}.dt + 1/3∫t^{4/3}.dt
⇒1/3 + 1/3
+ c
put the value of t in the above function,
⇒.
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Gaurav Seth 4 years, 4 months ago
The region bounded by the parabola y2 = 16x and the line x = 4 is the area OACO
The area OACO is symmetrical about x-axis
Area of OACO = 2(Area of OAB)
Area of OACO =
Therefore, the required area is 128/3 sq. units
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