# Discussions – calculus | Mathematics homework help

**Discussion 1**

** **

Please acceptance all competency of the forthcoming investigations (you must profession all labor):

**1.** Lumyn Electronics is a nobility owned employment. The concourse sold 128 TV foreign regulates in July and incurred a whole absorb of $1,700. In November they sold 248 TV foreign regulates and incurred a whole absorb of $3,500. Based on this advice, perceive the forthcoming:

a) The ultimate absorb and monthly urban absorb for this concourse.

b) A direct business that expresses the concourse's absorb.

c) The enrichment and use (or damage) for this concourse for the months of July and November, if the mediocre compensation for each TV foreign regulate sold was $20.

**2.** After starting to depend forcible use, Lumyn Electronics determined that an boarding representation for their advenient disquisition plans is now needful. The concourse's view is to unfold to a important mall dregs for which $100,000 would be needed. If the boarding representation pays 12% attention compounded monthly, what would their moderate boarding own to be in command to extend their $100,000 view in 5 years?

**Discussion2**

** **

**1.**

Please investigation and divide two or past divergent genuine activity applications where divergentiation/derivatives use. You must use veritable commencements and quote any commencement used.

2.

Please acceptance all competency of the forthcoming investigation (you must use Calculus concepts erudite and profession all labor):

NetSell, a the TV foreign regulate supplier for Lumyn Electronics, has a weekly genesis absorb of q TV foreign regulates that is consecrated by

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

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

The require business for this is-sue is consecrated by

p(q) = -0.005q + 200.

Based on this advice, perceive the forthcoming:

a) The ultimate absorb for the concourse.

b) The ultimate enrichment for the concourse.

c) The ultimate use for the concourse when 2,000 and 7,000 TV foreign regulates are deceptive.

**Discussion3**

** **

** **

**1.** After an obnoxious marketing belligerence in the national homogeneity, Lumyn Electronics discovered that their absorb can now be modeled by the equation: C(n) = 25n^{2} - 1,500n + 25,000, where n represents the sum of TV foreign regulates sold in a point month.

a) How frequent TV foreign regulates must be sold in a month in command to minimize the concourse's absorb?

b) What is that incompleteness absorb?

2.Lumyn Electronics is currently fissureing their treasure room from Quality Holdings Corp.

Quality Holdings owns a whole of 250 interchangeable properties suited for fissure. The concourse's monthly use, P, in dollars, is consecrated by the equation

P(n) = -8n^{2} + 3,200n – 80,000

where n is the sum of properties fissureed during a point month.

a) Would fissureing out all of the suited properties maximize Quality Holdings’ use?

b) If not, what is the optimum sum of properties that the concourse must own fissureed in command to maximize its use?

**Discussion4**

1. Consecrated two businesss, f_{1}(x) = 2x and f_{2}(x) = x^{2}, illustrate what ∫20[f1(x)−f2(x)]ⅆx represents and count this total in the period [0, 2]. Profession all labor.

** **

** **

**2.**

Please acceptance all competency of the forthcoming investigation (you must use Caclulus concepts erudite and profession all labor):

**1.** Lumyn Electronics has seen stellar disquisition in modern months. The concourse's use, P, is currently growing exponentially at 5% each year. The rate of alter of the concourse's use can be modeled as 1PdP=0.05dt. Perceive a unconcealed formula that expresses the use of the concourse as a business of season, t.