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wel
3 years ago
8

Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000

pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

5,000+6,000+7,000+,9,000+6,000+5,000= 38,000

Step-by-step explanation:

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If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?
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Answer:

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Step-by-step explanation:

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2 years ago
The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6). Find the new vertices. Use the rule (x,y) >>>(x-3,y+5)to tra
Mama L [17]

Answer:

A(-1,9), B(-4,2) and C(0,11)

Step-by-step explanation:

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6).

To translate, we use the rule (x,y) >>>(x-3,y+5)

For Vertex A(2,4),

The new vertex is (2-3, 4+5)=(-1,9)

For Vertex B(-1,-3)

The new vertex is (-1-3,-3+5)=(-4,2)

For Vertex C(3,6)

The new vertex is (3-3,6+5)=(0,11)

After translation of Vertex A, B and C by the given rule, the new points are A(-1,9), B(-4,2) and C(0,11)

8 0
2 years ago
Hilda was simplifying some numerical expressions and made each of the following sequences of calculations. Name the mathematical
Galina-37 [17]

Answer:

Problem 1:

5 · (−4/3) · (2/5)

= (−4/3) · 5 · (2/5)   <em>Conmutative Property of Multiplication</em>

= (−4/3) · (5 · (2/5))  <em>Associative Property of Multiplication</em>

= (−4/3) · (2/1) = −8/3 = −2*2/3<em> Multiplied fractions and extracted common factor</em>

Problem 2:

17 + 29 + 3+ 1

= 17 + 3 + 29 + 1  <em>Conmutative Property of Addition</em>

= (17 + 3) + (29 + 1)  <em>Associative Property of Addition</em>

= 20 + 30 Added groups

= 50 Added terms

Step-by-step explanation:

<u>For the Problem 1:</u>

In the first step, Hilda applied the <em>Conmutative Property of Multiplication</em>, because she changed the order of the numbers in the product

In the second step, she applied the <em>Associative Property of Multiplication, </em>because she agrouped the product of 5 and<em> </em>2/5 to perform it sepparately

In the third step, she calculated<em> the product of the fractions</em> -4/3 and 2/1, then she extracted 2 as a <em>common factor</em> to express the fraction as -2*2/3

<u>For the Problem 2:</u>

In the first step, Hilda applied the <em>Conmutative Property of Addition, </em>because she changed the order of the numbers in the sum

In the second step, she applied the<em> Associative Property of Addition, </em>because she associated the addition of 17 and 3 and the addition of 29 and 1, to calculate them in groups.

<em />

4 0
3 years ago
Read 2 more answers
Kayla paints a bookcase she uses 1 5/6 cups of paint on the outside of the bookcase and 3/8 cup of paint on the inside. How many
olchik [2.2K]

Answer: Kayla used 2 5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be

11/6 + 3/8 = (44 + 9)/24 = 53/24 cups of paint. Converting to mixed fraction, it becomes

2 5/24 cups of paint

3 0
3 years ago
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