1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
riadik2000 [5.3K]
3 years ago
5

Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h

our, while Jim charges $18 an hour and can type 8 pages per hour. Each typist must be employed at least 8 hours per week to keep them on the payroll. If Mr. Shamir has at least 208 pages to be typed, how many hours per week should he employ each typist to minimize his typing costs?

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

You might be interested in
Brett and Greg each want to run for president of their school’s student body Council. in order to do so, they must collect a cer
Dima020 [189]

Answer:

they need 130 per day signature

4 0
2 years ago
Geno signed up for a text messaging plan. He pays a $5.00 monthly fee and $0.04 per text message.
Marysya12 [62]

Answer:

The correct answer is [C.) 0.04r + 5.00}

Step-by-step explanation:

hope this hlps

7 0
3 years ago
Read 2 more answers
Need an answer thanks
Anna007 [38]

Answer:

37

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Assemble the proof by dragging tiles to the statements HELLPPPPPP PLEASEEEE
TEA [102]

Answer:

See explanation

Step-by-step explanation:

1. JK\cong LM - given

2.  JL\cong LN - definition of midpoint (the midpoint of the segment divides the segment into two congruent segments)

3. \angle LJK\cong \angle NLM - corresponding angles theorem (corresponding angles theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.)

4. \triangle JLK\cong \triangle LNM - SAS (SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent).

8 0
3 years ago
Read 2 more answers
An apartment complex generates $335,000 in effective rental income and $2,500 in other income. The same complex has $144,000 in
Slav-nsk [51]

Answer:

B) $ 77,500

Step-by-step explanation:

The company's pre-tax cash flow = total income - operating expenses - cost of servicing debt = 335 000 + 2500 - 144 000 - 116 000 = $ 77,500

4 0
3 years ago
Other questions:
  • The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a.8.1 c.
    7·1 answer
  • The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
    10·1 answer
  • Solve the proportion below.<br> X/25=3/5
    13·2 answers
  • You and your friend are in a canoe race. Your friend is a half mile in front of you and paddling 3 miles per hour. You are paddl
    5·2 answers
  • There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2&lt;3 What are the coordinates of the fourth
    13·1 answer
  • What is the relation of vertically opposite angle​
    12·2 answers
  • The table of values below represents an inverse variation relationship. what is the value of x when y= "3.25"?
    8·1 answer
  • Find the slope of the line and that passes through (7, 2) and (-7, 48)
    6·1 answer
  • In a school of 4000 students. 40 % of them are boys find the Number of boys and Number of girls
    13·1 answer
  • Today only, a suit is being sold at a 67% discount. The sale price is $270.60.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!