Answer:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Step-by-step explanation:
Table:
Vitamin A Vitamin B Cost $/oz
Wheat (x) 10.5 2.4 0.05
Oats (y) 6 1.8 0.10
Requirements 48 (mg) 20 (mg)
Requirements 1,693 (oz) 0,7054 (oz)
The problem is minimized z subject to two constraint
z = 0.05*x + 0.1*y to minimize
Subject to:
Requirement of Vitamin A
10.5*x + 6 * y ≥ 48
Requirement of Vitamin B
2.4*x + 1.8*y ≥ 20
x≥0 y≥0
Using the on-line solver AtomZmaths and after 3 iterations the solution is:
z (min ) = 0.4167 $
x = 8,33 oz
y = 0
Answer:
(From left to right) 2 5 8
Step-by-step explanation:
1. Find the gap (between the first and last terms) 11 - (-1) = 12
2. Divide by the number of times the linear term is added: 12/4=3
3. Use the common difference to find the missing values.
Answer:
<u>77.4 degrees and 12.6 degrees</u>
Step-by-step explanation:
Let the angles be x and x - 64.8.
Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :
x + x - 64.8 = 90
2x = 154.8
x = <u>77.4 degrees</u>
x - 64.8 = 77.4 - 64.8 = <u>12.6 degrees</u>
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
Answer:
<h2>
(2, -1)</h2>
Step-by-step explanation:
Given the function f(x) = 8x³ − 12x² − 48x, <em>the critical point of the function occurs at its turning point i,e at f'(x) = 0</em>
First we have to differentiate the function as shown;
Hence the critical numbers of the function are (2, -1)
