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# A television manufacturer produces 600 units of a certain model each

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Joined: 27 Sep 2015
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A television manufacturer produces 600 units of a certain model each  [#permalink]

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21 Dec 2015, 20:53
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91% (01:42) correct 9% (01:47) wrong based on 250 sessions

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A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least$42,000?

A. $110 B.$120
C. $140 D.$160
E. $180 _________________ Discipline does not mean control. Discipline means having the sense to do exactly what is needed. Ryerson (Ted Rogers) Thread Master Joined: 27 Sep 2015 Posts: 55 Location: Canada GMAT 1: 410 Q33 V13 WE: Management Consulting (Computer Software) Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 21 Dec 2015, 21:00 1 Total cost = $$600 + 90 = 54000$$ total revenue per month = cost + profit = $$54000+42000 = 96000$$ Selling price per unit = $$\frac{96000}{600}= 160$$ D is correct answer. _________________ Discipline does not mean control. Discipline means having the sense to do exactly what is needed. Director Joined: 02 Sep 2016 Posts: 649 Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 20 Aug 2017, 01:11 Bunuel and abhimahna I solved it this way. Is it fine? Total manufacturing cost= 600*90= 54000 Total selling cost= 600x Profit= 600x- 54000 600x- 54000>= 42000 x>=160 The least value is 160 because of the equal to sign. _________________ Help me make my explanation better by providing a logical feedback. If you liked the post, HIT KUDOS !! Don't quit.............Do it. Board of Directors Status: Stepping into my 10 years long dream Joined: 18 Jul 2015 Posts: 3578 Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 20 Aug 2017, 01:15 1 Shiv2016 wrote: Bunuel and abhimahna I solved it this way. Is it fine? Total manufacturing cost= 600*90= 54000 Total selling cost= 600x Profit= 600x- 54000 600x- 54000>= 42000 x>=160 The least value is 160 because of the equal to sign. Hi Shiv2016 , Yes, this method is fine. It's actually the same the other person has used in the above post. You are taking >= while he was taking "=". You are all good if you are getting the right answer. :) _________________ My LinkedIn abhimahna. My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub | Importance of an Error Log! Verbal Resources: All SC Resources at one place | All CR Resources at one place GMAT Club Inbuilt Error Log Functionality - View More. New Visa Forum - Ask all your Visa Related Questions - here. New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free Check our new About Us Page here. Senior SC Moderator Joined: 22 May 2016 Posts: 3565 Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 20 Aug 2017, 07:05 RSOHAL wrote: A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of$90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000? A$110
B$120 C$140
D$160 E$180

TR - TC = total profit
TR = (sell price per item) * (# of items)
TC = (cost price per item) * (# of items)

We need sell price per item, x

600x - (600)(90) = 42,000
600x - 54,000 = 42,000
600x = 96,000
x = 160

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Re: A television manufacturer produces 600 units of a certain model each  [#permalink]

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21 Aug 2017, 20:16
Total profit=42000=No of units sold=600 and the price be x
600X=42000
x=42000/600=420/6=70.
SP=90+70=160
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Re: A television manufacturer produces 600 units of a certain model each  [#permalink]

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23 Aug 2017, 23:59
1
my approach
since we already know cost per unit that is 90$/unit and we also successfully sells all unit every month and we need total 42000$ profit so simply divide 42000/600=420/6=70
now 90+70=160 will be selling price
Option D
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Re: A television manufacturer produces 600 units of a certain model each  [#permalink]

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29 Aug 2017, 17:19
RSOHAL wrote:
A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least$42,000?

A$110 B$120
C$140 D$160
E$180 We can let p = the minimum selling price per unit and create the following equation: 600p - 600(90) ≥ 42,000 600p - 54,000 ≥ 42,000 600p ≥ 96,000 p ≥ 160 Answer: D _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Intern Joined: 11 Dec 2016 Posts: 47 Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 11 Oct 2017, 11:27 Total Cost price= 90*600 C.P = 54000 Total Selling Price= 600*x Where x= no. of units Profit= Selling price - Cost Price 42000= 600x- 54000 600x= 96000 x=160 Ans. D EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 15294 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 06 Dec 2017, 14:11 1 1 Hi All, While this question is a bit 'wordy', there's a great built-in logic 'shortcut' that you can use to minimize the amount of work that you need to do to get to the correct answer. To start, we're given a couple of facts to work with: 1) There are 600 units produced and sold 2) Each unit COST$90 to make

We're asked for the price at which the TOTAL PROFIT from the sale of these units = $42,000. Since there are 600 units, then each unit has to bring in$42,000/600 = $70 in profit. The COST of each unit is$90, so to hit that total profit, we just need to increase that $90 by$70 on each unit.

$90 +$70 = $160 Final Answer: GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at: Rich.C@empowergmat.com The Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★ SVP Joined: 03 Jun 2019 Posts: 1739 Location: India Re: A television manufacturer produces 600 units of a certain model each [#permalink] ### Show Tags 16 Sep 2019, 09:23 RSOHAL wrote: A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of$90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000? A$110
B$120 C$140
D$160 E$180

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least$42,000?

Let the selling price per unit be $x 600 (x - 90) >= 42,000 x -90 >= 70 x>=$160

IMO D
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Re: A television manufacturer produces 600 units of a certain model each  [#permalink]

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16 Sep 2019, 10:58
RSOHAL wrote:
A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least$42,000?

A$110 B$120
C$140 D$160
E\$180

$$\frac{600*90 + 42000}{600}$$

Or, $$\frac{600(90 + 70)}{600}$$

Or, $$160$$, Answer must be (D)
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Re: A television manufacturer produces 600 units of a certain model each   [#permalink] 16 Sep 2019, 10:58
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