# Discussions – calculus | Mathematics homework help

**Discussion 1**

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Please exculpation all compatability of the aftercited topics (you must parade all labor):

**1.** Lumyn Electronics is a origin owned trade. The crew sold 128 TV contingent administers in July and incurred a completion consume of $1,700. In November they sold 248 TV contingent administers and incurred a completion consume of $3,500. Based on this instruction, ascertain the aftercited:

a) The ultimate consume and monthly unroving consume for this crew.

b) A straight administration that expresses the crew's consume.

c) The fruits and acquisition (or detriment) for this crew for the months of July and November, if the middle require for each TV contingent administer sold was $20.

**2.** After starting to adapt suggestive acquisition, Lumyn Electronics unwavering that an cannonade statement for their advenient expatiation plans is now essential. The crew's design is to open to a elder mall residuum for which $100,000 would be needed. If the cannonade statement pays 12% distribute compounded monthly, what would their judicious cannonade keep to be in dispose to arrive-at their $100,000 design in 5 years?

**Discussion2**

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**1.**

Please inquiry and distribute two or over unanalogous veritable conduct applications where unanalogousiation/derivatives dedicate. You must use genuine founts and adduce any fount used.

2.

Please exculpation all compatability of the aftercited topic (you must use Calculus concepts knowing and parade all labor):

NetSell, a the TV contingent administer supplier for Lumyn Electronics, has a weekly formation consume of q TV contingent administers that is ardent by

C(q) = 0.000004q^{3} - 0.03q^{2} + 100q + 75,000

where q is in the meanperiod [0, 10,000].

The claim administration for this effect is ardent by

p(q) = -0.005q + 200.

Based on this instruction, ascertain the aftercited:

a) The ultimate consume for the crew.

b) The ultimate fruits for the crew.

c) The ultimate acquisition for the crew when 2,000 and 7,000 TV contingent administers are artful.

**Discussion3**

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**1.** After an aggressive marketing war in the persomal brotherhood, Lumyn Electronics discovered that their consume can now be modeled by the equation: C(n) = 25n^{2} - 1,500n + 25,000, where n represents the sum of TV contingent administers sold in a detail month.

a) How numerous TV contingent administers must be sold in a month in dispose to minimize the crew's consume?

b) What is that insufficiency consume?

2.Lumyn Electronics is currently lacerationing their garner room from Quality Holdings Corp.

Quality Holdings owns a completion of 250 retail properties advantageous for laceration. The crew's monthly acquisition, P, in dollars, is ardent by the equation

P(n) = -8n^{2} + 3,200n – 80,000

where n is the sum of properties lacerationed during a detail month.

a) Would lacerationing out all of the advantageous properties maximize Quality Holdings’ acquisition?

b) If not, what is the optimum sum of properties that the crew must keep lacerationed in dispose to maximize its acquisition?

**Discussion4**

1. Ardent two administrations, f_{1}(x) = 2x and f_{2}(x) = x^{2}, expound what ∫20[f1(x)−f2(x)]ⅆx represents and objurgate this well in the meanperiod [0, 2]. Parade all labor.

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**2.**

Please exculpation all compatability of the aftercited topic (you must use Caclulus concepts knowing and parade all labor):

**1.** Lumyn Electronics has seen stellar expatiation in new months. The crew's acquisition, P, is currently growing exponentially at 5% each year. The objurgate of alter of the crew's acquisition can be modeled as 1PdP=0.05dt. Ascertain a unconcealed formula that expresses the acquisition of the crew as a administration of period, t.