The cost can be optimized by using a Linear Programming given the linear constraint system
- To minimize the cost, the biologist should use <u>60 samples of Type I</u> bacteria and <u>0 samples of Type II</u> bacteria
Reason:
Let <em>X</em> represent Type 1 bacteria, and let <em>Y</em>, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
(Equation for the inequality graphs)
The boundary of the feasible region are;
(20, 70)
(20, 53.
)
(60, 0)
(60, 70)
The cost are ;
![\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7DX%26Y%26P%3D%205%5Ctimes%20X%20%2B%207%20%5Ctimes%20Y%5C%5C20%2670%26590%5C%5C20%2653.%5Coverline%203%26473.%5Coverline%203%5C%5C60%260%26300%5C%5C60%2670%26790%5Cend%7Barray%7D%5Cright%5D)
- Therefore, the minimum cost of $300 is obtained by using <u>60 samples of Type I</u> and <u>0 samples of Type II</u>
Learn more here:
brainly.com/question/17646656
Answer:
add up the prices of everything they're buying, divide it by 75 and then multiple the whole answer by 100.
Step-by-step explanation:
Answer:
The four digit numbers are from 1000 to 9999
The number of four digits which are not divisible by 4 means 4 goes into them with a remainder
The number of four digit numbers 9999 inclusive which are not divisible by 4 are
<h3>6,750 numbers</h3>
Hope this helps you
The slope of the line is five because upon factoring you recieve
y - 4 = 5x -10
which the slope is always the number connected to the x
Next plug in -2 or 2 to find if it is a point on the graph
upon plugging in 2
4 - 4 = 5(2) - 10
0 = 0
D would be the correct answer
Answer: -3
Step-by-step explanation:
