Chapter 1.3, Problem 106E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337280426

Textbook Problem

**Income** Because of the enormous success of the movie Henrietta’s Heaving Heart based on a novel by Celestine A. Lafleur (see Exercise 105), *Boxoffice Success Productions* decides to film the sequel, Henrietta, Oh Henrietta. At this point, Bertha Snodgrass (whose novels now top the best-seller lists) feels that she is in a position to demand $100,000 for the screen rights and royalties of 8% of the net profits. Express her income *I* as a function of the net profit *N*, and determine the net profit necessary to bring her an income of $1,000,000. What is her marginal income (share of each dollar of net profit)?

To determine

**To calculate:** The linear model for the novelist, Celestine A. Lafleur’s income *I* as a function of the net profit *N*, her marginal income and also calculate the net profit in order to ear her an income of

Explanation

**Given Information:**

After the success of the movie Henriettaâ€™s Heaving Heart based on her novel Ms. Lafleur decided to sold the screen rights of her book, Henriettaâ€™s Heaving Heart to Box-office Success Productions at

**Formula used:**

The linear function or function is represented as *m* is the slope and *b* is the intercept.

The slope is computed when two points

And the intercept is computed for the line with slope *m* and passing through

**Calculation:**

Consider that after the success of the movie Henriettaâ€™s Heaving Heart based on her novel Ms. Lafleur decided to sold the screen rights of her book, Henriettaâ€™s Heaving Heart to Box-office Success Productions at

Assume *I* be the income of Ms. Lafleur and *N* be the net profit.

As the income is the sum of the screen rights and the royalties taken, then the income is given by,

Now, the screen rights is sold for

Then, the equation for the income is as follows,

Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10E

Sect-1.1 P-11ESect-1.1 P-12ESect-1.1 P-13ESect-1.1 P-14ESect-1.1 P-15ESect-1.1 P-16ESect-1.1 P-17ESect-1.1 P-18ESect-1.1 P-19ESect-1.1 P-20ESect-1.1 P-21ESect-1.1 P-22ESect-1.1 P-23ESect-1.1 P-24ESect-1.1 P-25ESect-1.1 P-26ESect-1.1 P-27ESect-1.1 P-28ESect-1.1 P-29ESect-1.1 P-30ESect-1.1 P-31ESect-1.1 P-32ESect-1.1 P-33ESect-1.1 P-34ESect-1.1 P-35ESect-1.1 P-36ESect-1.1 P-37ESect-1.1 P-38ESect-1.1 P-39ESect-1.1 P-40ESect-1.1 P-41ESect-1.1 P-42ESect-1.1 P-43ESect-1.1 P-44ESect-1.1 P-45ESect-1.1 P-46ESect-1.1 P-47ESect-1.1 P-48ESect-1.1 P-49ESect-1.1 P-50ESect-1.1 P-51ESect-1.1 P-52ESect-1.1 P-53ESect-1.1 P-54ESect-1.1 P-55ESect-1.1 P-56ESect-1.1 P-57ESect-1.1 P-58ESect-1.1 P-59ESect-1.1 P-60ESect-1.1 P-61ESect-1.1 P-62ESect-1.1 P-63ESect-1.1 P-64ESect-1.1 P-65ESect-1.1 P-66ESect-1.1 P-67ESect-1.1 P-68ESect-1.1 P-69ESect-1.1 P-70ESect-1.1 P-71ESect-1.1 P-72ESect-1.1 P-73ESect-1.1 P-74ESect-1.1 P-75ESect-1.1 P-76ESect-1.2 P-1ESect-1.2 P-2ESect-1.2 P-3ESect-1.2 P-4ESect-1.2 P-5ESect-1.2 P-6ESect-1.2 P-7ESect-1.2 P-8ESect-1.2 P-9ESect-1.2 P-10ESect-1.2 P-11ESect-1.2 P-12ESect-1.2 P-13ESect-1.2 P-14ESect-1.2 P-15ESect-1.2 P-16ESect-1.2 P-17ESect-1.2 P-18ESect-1.2 P-19ESect-1.2 P-20ESect-1.2 P-21ESect-1.2 P-22ESect-1.2 P-23ESect-1.2 P-24ESect-1.2 P-25ESect-1.2 P-26ESect-1.2 P-27ESect-1.2 P-28ESect-1.2 P-29ESect-1.2 P-30ESect-1.2 P-31ESect-1.2 P-32ESect-1.2 P-33ESect-1.2 P-34ESect-1.2 P-35ESect-1.2 P-36ESect-1.2 P-37ESect-1.2 P-38ESect-1.2 P-39ESect-1.2 P-40ESect-1.2 P-41ESect-1.2 P-42ESect-1.2 P-43ESect-1.2 P-44ESect-1.2 P-45ESect-1.2 P-46ESect-1.2 P-47ESect-1.2 P-48ESect-1.2 P-49ESect-1.2 P-50ESect-1.2 P-51ESect-1.2 P-52ESect-1.2 P-53ESect-1.2 P-54ESect-1.2 P-55ESect-1.2 P-56ESect-1.2 P-57ESect-1.2 P-58ESect-1.2 P-59ESect-1.2 P-60ESect-1.2 P-61ESect-1.2 P-62ESect-1.2 P-63ESect-1.2 P-64ESect-1.2 P-65ESect-1.2 P-66ESect-1.2 P-67ESect-1.2 P-68ESect-1.2 P-69ESect-1.2 P-70ESect-1.2 P-71ESect-1.2 P-72ESect-1.2 P-73ESect-1.2 P-74ESect-1.2 P-75ESect-1.2 P-76ESect-1.2 P-77ESect-1.2 P-78ESect-1.2 P-79ESect-1.2 P-80ESect-1.3 P-1ESect-1.3 P-2ESect-1.3 P-3ESect-1.3 P-4ESect-1.3 P-5ESect-1.3 P-6ESect-1.3 P-7ESect-1.3 P-8ESect-1.3 P-9ESect-1.3 P-10ESect-1.3 P-11ESect-1.3 P-12ESect-1.3 P-13ESect-1.3 P-14ESect-1.3 P-15ESect-1.3 P-16ESect-1.3 P-17ESect-1.3 P-18ESect-1.3 P-19ESect-1.3 P-20ESect-1.3 P-21ESect-1.3 P-22ESect-1.3 P-23ESect-1.3 P-24ESect-1.3 P-25ESect-1.3 P-26ESect-1.3 P-27ESect-1.3 P-28ESect-1.3 P-29ESect-1.3 P-30ESect-1.3 P-31ESect-1.3 P-32ESect-1.3 P-33ESect-1.3 P-34ESect-1.3 P-35ESect-1.3 P-36ESect-1.3 P-37ESect-1.3 P-38ESect-1.3 P-39ESect-1.3 P-40ESect-1.3 P-41ESect-1.3 P-42ESect-1.3 P-43ESect-1.3 P-44ESect-1.3 P-45ESect-1.3 P-46ESect-1.3 P-47ESect-1.3 P-48ESect-1.3 P-49ESect-1.3 P-50ESect-1.3 P-51ESect-1.3 P-52ESect-1.3 P-53ESect-1.3 P-54ESect-1.3 P-55ESect-1.3 P-56ESect-1.3 P-57ESect-1.3 P-58ESect-1.3 P-59ESect-1.3 P-60ESect-1.3 P-61ESect-1.3 P-62ESect-1.3 P-63ESect-1.3 P-64ESect-1.3 P-65ESect-1.3 P-66ESect-1.3 P-67ESect-1.3 P-68ESect-1.3 P-69ESect-1.3 P-70ESect-1.3 P-71ESect-1.3 P-72ESect-1.3 P-73ESect-1.3 P-74ESect-1.3 P-75ESect-1.3 P-76ESect-1.3 P-77ESect-1.3 P-78ESect-1.3 P-79ESect-1.3 P-80ESect-1.3 P-81ESect-1.3 P-82ESect-1.3 P-83ESect-1.3 P-84ESect-1.3 P-85ESect-1.3 P-86ESect-1.3 P-87ESect-1.3 P-88ESect-1.3 P-89ESect-1.3 P-90ESect-1.3 P-91ESect-1.3 P-92ESect-1.3 P-93ESect-1.3 P-94ESect-1.3 P-95ESect-1.3 P-96ESect-1.3 P-97ESect-1.3 P-98ESect-1.3 P-99ESect-1.3 P-100ESect-1.3 P-101ESect-1.3 P-102ESect-1.3 P-103ESect-1.3 P-104ESect-1.3 P-105ESect-1.3 P-106ESect-1.3 P-107ESect-1.3 P-108ESect-1.3 P-109ESect-1.3 P-110ESect-1.3 P-111ESect-1.3 P-112ESect-1.3 P-113ESect-1.3 P-114ESect-1.3 P-115ESect-1.3 P-116ESect-1.3 P-117ESect-1.3 P-118ESect-1.3 P-119ESect-1.3 P-120ESect-1.3 P-121ESect-1.3 P-122ESect-1.3 P-123ESect-1.3 P-124ESect-1.3 P-125ESect-1.3 P-126ESect-1.3 P-127ESect-1.3 P-128ESect-1.3 P-129ESect-1.3 P-130ESect-1.3 P-131ESect-1.3 P-132ESect-1.3 P-133ESect-1.3 P-134ESect-1.4 P-1ESect-1.4 P-2ESect-1.4 P-3ESect-1.4 P-4ESect-1.4 P-5ESect-1.4 P-6ESect-1.4 P-7ESect-1.4 P-8ESect-1.4 P-9ESect-1.4 P-10ESect-1.4 P-11ESect-1.4 P-12ESect-1.4 P-13ESect-1.4 P-14ESect-1.4 P-15ESect-1.4 P-16ESect-1.4 P-17ESect-1.4 P-18ESect-1.4 P-19ESect-1.4 P-20ESect-1.4 P-21ESect-1.4 P-22ESect-1.4 P-23ESect-1.4 P-24ESect-1.4 P-25ESect-1.4 P-26ESect-1.4 P-27ESect-1.4 P-28ESect-1.4 P-29ESect-1.4 P-30ESect-1.4 P-31ESect-1.4 P-32ESect-1.4 P-33ESect-1.4 P-34ESect-1.4 P-35ESect-1.4 P-36ESect-1.4 P-37ESect-1.4 P-38ESect-1.4 P-39ESect-1.4 P-40ESect-1.4 P-41ESect-1.4 P-42ESect-1.4 P-43ESect-1.4 P-44ESect-1.4 P-45ESect-1.4 P-46ECh-1 P-1RECh-1 P-2RECh-1 P-3RECh-1 P-4RECh-1 P-5RECh-1 P-6RECh-1 P-7RECh-1 P-8RECh-1 P-9RECh-1 P-10RECh-1 P-11RECh-1 P-12RECh-1 P-13RECh-1 P-14RECh-1 P-15RECh-1 P-16RECh-1 P-17RECh-1 P-18RECh-1 P-19RECh-1 P-20RECh-1 P-21RECh-1 P-22RECh-1 P-23RECh-1 P-24RECh-1 P-25RECh-1 P-26RECh-1 P-27RECh-1 P-28RECh-1 P-29RECh-1 P-30RECh-1 P-31RECh-1 P-32RECh-1 P-33RECh-1 P-34RECh-1 P-35RECh-1 P-36RECh-1 P-37RECh-1 P-38RECh-1 P-39RECh-1 P-40RECh-1 P-41RECh-1 P-42RECh-1 P-43RECh-1 P-44RE

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