1. Questions

MATH HELP!

cAnything helps and if i could get an explanation cause im a bit lost!
thank youuuu (:

A hospital has an operating room used only for eye surgery. The annual cost of rent, heat, and electricity for the operating room and its equipment is $200,000 and the annual salaries for the people who staff this room total $250,000.

Each surgery performed requires the use of $370 worth of medical supplies and drugs. Every patient receives a $25 bouquet of flowers the day after surgery. Also, one-quarter of the patients receive a $20 pair of dark glasses.

1a. Identify the annual fixed and variable costs for running the operating room.
FC=?
VC=?
b. Let x be the number of patients having eye surgery in a year. Write the cost as a function of x
C(x)=(this is what i think it is)===450,000+400x

2.The hospital receives a payment of $1000 for each eye operation performed. Write the revenue function.
R(x)= (this is what i think it is)===1000x

3. How many eye operations must the hospital perform each year in order to break even?
=====For this one i think you set them equal to each other and solve for x which is 750 surgeries correct?

4. currently the hospital averages 840 eye operations per year. There is a medical machine that would reduce by $50 per patient the amount of medical supplies needed Should the hospital lease this machine if it can be leased for $50,000 annually. Justify your answer.

5. Ad advertising agency has proposed to the hospital's president that she spend $120,000 per year on television and radio advertising to persuade people that Southwest Allentown Hospital is the best place to have an eye surgery performed. Adversiting account executives estimate that such publicity would increase business by 480 opertions per year. What impact would this adversiting have on the hospital's profits?

6. In case the advertising agency is being overly optimistic, how many extra patients per year are needed to cover the cost of the proposed ads? Justify your answer.

7.If the ad campaign is approved and subsequently meets its projections, should the hospital purchase the machine mentioned earlier? Justify your answer!

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
amanda.jade

  1. 1a. FC = 200,000 + 250,000 = $450,000.

    VC = (370 + 25)x + 20x / 4,
    VC = 395x + 5x = 400x.

    Your answers are correct, but you should show your work.

    b. C(x) = 400x + 450,000.

    2. Correct!

    3. Correct! Very good!

    4. Net Savings = $50*840 - $50000 = -$8,000. = $8000 Loss. They should not lease.

    5. Net Increase=$1000*480 - $120,000 = $360,000.

    6. 1000x = 120,000, X = 120 extra Patients.

    7. Net Savings = 50(840+480) - 50000 = $16,000 / yr. That's small when compared with the increase received from advertising. They shouldn't buy the machine.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    two objects move toward each other collide and separate. there was no net external force acting on the objects but some kinetic energy was lost. is momentum conserved ? what is the explanation ?

  2. Physics

    The drill bit of a variable speed electric drill has a constant angular acceleration of 2.50 rad/s^2. the initial angular speed of the bit is 5.00 rad/s. after 4.00s, (a) what angle has the bit turned through and (b) what is the

  3. Math

    To play a game you spin a spinner like the one shown. You win if the arrow lands in one of the areas marked "WIN". Lee played this game many times and recorded her results. She won 8 times and lost 40 times. Use Lee's data to

  4. Math

    A 1/2 inch drill bit is too large for a job, while a 3/8 inch bit is too small. What size bit should be tried next? 7/16 *** 5/16 **** 3/16 9/16 is this correct

  1. Maths

    Have a question on complex numbers. Z1= 1+j2, Z2= 2+j5 Find total impedance in Cartesian and polar form of two impedances in parallel: 1/ZT = 1/Z1 + 1/Z2 I get to 39/58 + 83/58 j but then get a bit lost.

  2. math

    On each of four consecutive plays in a football game, a team lost 11 yd. If lost yardage is interpreted as a negative integer, write the information as a product of integers and determine the total number of yards lost.

  3. science

    Describe and show your calculations on how you would prepare 1.00L of a 0.50M solution of each of the following a.) HCl from "concentrated" (12M) reagent. b.) Sodium Carbonate from the pure solid PLEASE SO LOST(explanation of why

  4. Physics

    A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.20 104 rad/s to an angular speed of 3.14 104 rad/s. In the process, the bit turns through 1.92 104 rad. Assuming a constant angular

  1. MATH

    rewrite each linear function in the form y = mx + b: 3(2y-5)/4 = x - 1 Thank youuuu

  2. Language Arts

    Which statement explain how the figurative meaning of a word or phrase helps a reader? It helps to paint a picture in the reader's mind. It helps the reader to understand that the word is positive. It helps the reader to find the

  3. Discrete Math

    What is the probability that a fair coin lands Heads 4 times out of 5 flips? Out of bit strings of length ten, what is the probability that the bit string begins and ends with 0? What if the bit string has more 0s than 1s? and,

  4. Math

    I'm having trouble with a math problem: I solved it but I have to make sure I'm right. Question: A computer was on sale at 60% off. A cash register receipt for that computer was found showing a total of $496.08 which INCLUDED TAX,

View more similar questions or ask a new question.