In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one machine, the third operation on any one of six machines, and the fourth operation on either of two machines. Over how many routes can the raw material be processed?14
56
60

Answers

Answer 1

Answer: Let's see all the steps:
1) operation : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.

So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours per week, and it has $3000 outlay weekly on operating costs. It takes 1 hour and 4 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $4 on line B. (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.

Answers

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

What is inequality?

Inequality is a statement shows greater the, greater then equal to, less then,less then equal to between two algebraic expressions.

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

Hence the inequality for the number of items, x, produced by the labor, is 250 ≤ x ≤ 600 and the inequality for the cost, C is $1,000 ≤ C ≤ $3,000

To know more about Inequality follow

brainly.com/question/24372553

Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16, and the cost of the order was $52. What was the price of each cupcake?

Answers

Another way to think about this is... The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).

52=total
16= total price of layer cake

52
-16
------
36

36\24=1.50 each

Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. How many unique combinations can be formed by picking one object from each set?

Answers

The correct answer for the question that is being presented above is this one: "A. 960."Four different sets of objects contain 2, 5, 6, and 7 objects, respectively.

= 2 * 5 * 6 * 7
= 960

Here are the following choices:
A. 960
B. 141
C. 23
D. 529

Answer: 420

Step-by-step explanation:

2*5*6*7 = 420

Were these answers right? It not explain why please xx it's meant to be in12 hour clock

Answers

The answers are both correct, but perhaps incomplete.

I see 'X's marked next to the two answers. If those mean that
your answers were marked 'wrong', then I think the problem is this:

-- The top one should have been "10:00 AM".

-- The bottom one should have been "10:39 PM".

What would be the value of $100 after 10 years if you earn 11 percent interest per year?

Answers

If the interest is simple interest, then the value is

   100 [ 1 + (10 x 0.11) ] = 100 (1 + 1.1) = 100 x 2.1 = $210 .

If the interest is compound interest, and is compounded annually,
then the value is

   100 (1 + 0.11)¹⁰ = 100 (2.8394) = $283.94 .

If the interest is compound interest, and is compounded monthly,
then the value is

   100 (1 + 0.11/12)¹²⁰ = 100 (2.9891) = $298.91 .

That's why compound interest is better than simple interest.

Answer:

$\left[\begin{array}{ccc}A&259.37\nB&283.94&Correct\nC&110.46\end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{ccc}100(1+(0.11)/(12))^(10) \end{array}\right] = \left[\begin{array}{ccc}100(2.8394)\end{array}\right] = \left[\begin{array}{ccc}283.94\end{array}\right]$

If 19 more than 2 times a number is 23, what is the number?

Answers

2 is the unknown number.

Let x be the unknown number.

2x + 19 = 23
2x = 23 - 19
2x = 4
2x/2 = 4/2
x = 2

to check:
2(2) + 19 = 23
4 + 19 = 23
23 = 23

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