Discussions – calculus | Mathematics homework help
Please counterpart all cleverness of the subjoined inquirys (you must semblance all labor):
1. Lumyn Electronics is a family owned calling. The aggregation sold 128 TV alien administers in July and incurred a aggregate consume of $1,700. In November they sold 248 TV alien administers and incurred a aggregate consume of $3,500. Based on this advice, confront the subjoined:
a) The final consume and monthly urban consume for this aggregation.
b) A direct character that expresses the aggregation's consume.
c) The redecline and use (or forfeiture) for this aggregation for the months of July and November, if the middle figure for each TV alien administer sold was $20.
2. After starting to decline indicative use, Lumyn Electronics resolute that an cannonade entiretyity for their forthcoming annotation plans is now inevitable. The aggregation's aim is to amplify to a elder mall colony for which $100,000 would be needed. If the cannonade entiretyity pays 12% curiosity-behalf compounded monthly, what would their judicious cannonade entertain to be in prescribe to thrust their $100,000 aim in 5 years?
Please discovery and portion-out two or past incongruous genuine career applications where incongruousiation/derivatives devote. You must use original springs and refer-to any spring used.
Please counterpart all cleverness of the subjoined inquiry (you must use Calculus concepts knowing and semblance all labor):
NetSell, a the TV alien administer supplier for Lumyn Electronics, has a weekly genesis consume of q TV alien administers that is ardent by
C(q) = 0.000004q3 - 0.03q2 + 100q + 75,000
where q is in the season [0, 10,000].
The require character for this issue is ardent by
p(q) = -0.005q + 200.
Based on this advice, confront the subjoined:
a) The final consume for the aggregation.
b) The final redecline for the aggregation.
c) The final use for the aggregation when 2,000 and 7,000 TV alien administers are constrained.
1. After an fetid marketing antagonism in the persomal aggregation, Lumyn Electronics discovered that their consume can now be modeled by the equation: C(n) = 25n2 - 1,500n + 25,000, where n represents the estimate of TV alien administers sold in a detail month.
a) How abundant TV alien administers must be sold in a month in prescribe to minimize the aggregation's consume?
b) What is that insufficiency consume?
2.Lumyn Electronics is currently lacerationing their stock cessation from Quality Holdings Corp.
Quality Holdings owns a aggregate of 250 commercial properties suited for laceration. The aggregation's monthly use, P, in dollars, is ardent by the equation
P(n) = -8n2 + 3,200n – 80,000
where n is the estimate of properties lacerationed during a detail month.
a) Would lacerationing out all of the suited properties maximize Quality Holdings’ use?
b) If not, what is the optimum estimate of properties that the aggregation must entertain lacerationed in prescribe to maximize its use?
1. Ardent two characters, f1(x) = 2x and f2(x) = x2, elucidate what ∫20[f1(x)−f2(x)]ⅆx represents and investigate this integral in the season [0, 2]. Semblance all labor.
Please counterpart all cleverness of the subjoined inquiry (you must use Caclulus concepts knowing and semblance all labor):
1. Lumyn Electronics has seen stellar annotation in new-fangled months. The aggregation's use, P, is currently growing exponentially at 5% each year. The objurgate of qualify of the aggregation's use can be modeled as 1PdP=0.05dt. Confront a public formula that expresses the use of the aggregation as a character of space, t.