Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Chapter 3, Problem 13STP
To determine

Of the given situation, we have to frame a system of inequalities and also graph it showing feasible region and coordinates. Also, we have to write a profit function for selling the number cookies and muffins and finally, calculate the maximum profit from it.

Expert Solution & Answer
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Answer to Problem 13STP

(a) The inequalities are:

  x0

  y0

  5x+5y40

  2x+y15

(c) Profit function = $12 x + $8 y

(d) maximumprofit = $ 92

Explanation of Solution

Given Information

ingredients for each tray of cookies = 5 cups of flour + 2 cups of sugar

ingredients for each tray of muffins = 5 cups of flour + 1 cups of sugar

Total number of cups of flour available = 40

Total number of cups of sugar available = 15

Profit per tray of cookies = $ 12

Profit per tray of muffins = $ 8

Calculation (a)

Let,

x = number of trays of cookies baked

y = number of trays of muffins baked

So, according to the data’s given,

  x0  ......(i)

  y0  ......(ii)

  5x+5y40  ......(iii)

  2x+y15  ......(iv)

(b) Solving equation (iii) and (iv) to intercept form, that is,

  xa+yb=1

where ‘ a’ and ‘ b’ will be ‘ x’ and ‘ y’ intercept respectively.

from (iii), we have

  ⇒ 5x40+5y40=1

  ⇒ x8+y8=1

  [a1=8,b1=8]

from (iv), we have

  ⇒ 2x+y=15x(152)+y15=1

  [a2=152,b2=15]

Graph

Plotting these on the graph, we get,

  Glencoe Algebra 2 Student Edition C2014, Chapter 3, Problem 13STP

co-ordinates of vertices in feasible region,

A = (0, 8)

B = (152,0)

P = (7, 1)

(c) Profit function = $ 12x + $ 8y

(d) Maximum profit

For maximum profit, Tonya should sell, 7 trays of cookies and 1 tray of muffins

Therefore, maximum profit = ($ 12 × 7) + ($ 8 × 1)

            = $ 84 + $ 8

            = $ 92

Chapter 3 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2AGPCh. 3.1 - Prob. 2BGPCh. 3.1 - Prob. 3AGPCh. 3.1 - Prob. 3BGPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 4CGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 6GPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13CYUCh. 3.1 - Prob. 14CYUCh. 3.1 - Prob. 15CYUCh. 3.1 - Prob. 16CYUCh. 3.1 - Prob. 17CYUCh. 3.1 - Prob. 18CYUCh. 3.1 - Prob. 19CYUCh. 3.1 - Prob. 20CYUCh. 3.1 - Prob. 21CYUCh. 3.1 - Prob. 22CYUCh. 3.1 - Prob. 23CYUCh. 3.1 - Prob. 24CYUCh. 3.1 - Prob. 25CYUCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - 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Prob. 49SRCh. 3.3 - Prob. 50SCh. 3.3 - Prob. 51SCh. 3.3 - Prob. 52SCh. 3.3 - Prob. 53SCh. 3.3 - Prob. 54SCh. 3.3 - Prob. 55SCh. 3.4 - Prob. 1AGPCh. 3.4 - Prob. 1BGPCh. 3.4 - Prob. 2AGPCh. 3.4 - Prob. 2BGPCh. 3.4 - Prob. 3GPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8PPSCh. 3.4 - Prob. 9PPSCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24HPCh. 3.4 - Prob. 25HPCh. 3.4 - Prob. 26HPCh. 3.4 - Prob. 27HPCh. 3.4 - Prob. 28HPCh. 3.4 - Prob. 29HPCh. 3.4 - Prob. 30STPCh. 3.4 - Prob. 31STPCh. 3.4 - Prob. 32STPCh. 3.4 - Prob. 33STPCh. 3.4 - Prob. 34SRCh. 3.4 - Prob. 35SRCh. 3.4 - Prob. 36SRCh. 3.4 - Prob. 37SRCh. 3.4 - Prob. 38SRCh. 3.4 - Prob. 39SCh. 3.4 - Prob. 40SCh. 3.4 - Prob. 41SCh. 3.4 - Prob. 42SCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 1GPCh. 3.5 - Prob. 2AGPCh. 3.5 - Prob. 2BGPCh. 3.5 - Prob. 2CGPCh. 3.5 - Prob. 3GPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8CYUCh. 3.5 - Prob. 9CYUCh. 3.5 - Prob. 10CYUCh. 3.5 - Prob. 11CYUCh. 3.5 - Prob. 12CYUCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34HPCh. 3.5 - Prob. 35HPCh. 3.5 - Prob. 36HPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39STPCh. 3.5 - Prob. 40STPCh. 3.5 - Prob. 41SRCh. 3.5 - Prob. 42SRCh. 3.5 - Prob. 43SRCh. 3.5 - Prob. 44SRCh. 3.5 - Prob. 45SRCh. 3.5 - Prob. 46SRCh. 3.5 - Prob. 47SRCh. 3.5 - Prob. 48SRCh. 3.5 - Prob. 49SRCh. 3.5 - Prob. 50SCh. 3.5 - Prob. 51SCh. 3.5 - Prob. 52SCh. 3.6 - Prob. 1AGPCh. 3.6 - Prob. 1BGPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3GPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 5GPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9CYUCh. 3.6 - Prob. 10CYUCh. 3.6 - Prob. 11CYUCh. 3.6 - Prob. 12CYUCh. 3.6 - Prob. 13CYUCh. 3.6 - Prob. 14CYUCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41PPSCh. 3.6 - Prob. 42PPSCh. 3.6 - Prob. 43PPSCh. 3.6 - Prob. 44PPSCh. 3.6 - Prob. 45PPSCh. 3.6 - Prob. 46HPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48HPCh. 3.6 - Prob. 49HPCh. 3.6 - Prob. 50HPCh. 3.6 - Prob. 51STPCh. 3.6 - Prob. 52STPCh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55SRCh. 3.6 - Prob. 56SRCh. 3.6 - Prob. 57SRCh. 3.6 - Prob. 58SRCh. 3.6 - Prob. 59SRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SCh. 3.6 - Prob. 64SCh. 3.6 - Prob. 65SCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.7 - Prob. 1AGPCh. 3.7 - Prob. 1BGPCh. 3.7 - Prob. 2AGPCh. 3.7 - Prob. 2BGPCh. 3.7 - Prob. 3GPCh. 3.7 - Prob. 4AGPCh. 3.7 - Prob. 4BGPCh. 3.7 - Prob. 5AGPCh. 3.7 - Prob. 5BGPCh. 3.7 - Prob. 1CYUCh. 3.7 - Prob. 2CYUCh. 3.7 - Prob. 3CYUCh. 3.7 - Prob. 4CYUCh. 3.7 - Prob. 5CYUCh. 3.7 - Prob. 6CYUCh. 3.7 - Prob. 7CYUCh. 3.7 - Prob. 8CYUCh. 3.7 - Prob. 9CYUCh. 3.7 - Prob. 10CYUCh. 3.7 - Prob. 11CYUCh. 3.7 - Prob. 12CYUCh. 3.7 - Prob. 13CYUCh. 3.7 - Prob. 14CYUCh. 3.7 - Prob. 15CYUCh. 3.7 - Prob. 16CYUCh. 3.7 - Prob. 17CYUCh. 3.7 - Prob. 18CYUCh. 3.7 - Prob. 19CYUCh. 3.7 - Prob. 20CYUCh. 3.7 - Prob. 21CYUCh. 3.7 - Prob. 22CYUCh. 3.7 - 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Prob. 42HPCh. 3.8 - Prob. 43STPCh. 3.8 - Prob. 44STPCh. 3.8 - Prob. 45STPCh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47SRCh. 3.8 - Prob. 48SRCh. 3.8 - Prob. 49SRCh. 3.8 - Prob. 50SRCh. 3.8 - Prob. 51SRCh. 3.8 - Prob. 52SRCh. 3.8 - Prob. 53SRCh. 3.8 - Prob. 54SCh. 3.8 - Prob. 55SCh. 3.8 - Prob. 56SCh. 3.8 - Prob. 1ECh. 3.8 - Prob. 2ECh. 3.8 - Prob. 3ECh. 3.8 - Prob. 4ECh. 3.8 - Prob. 5ECh. 3.8 - Prob. 6ECh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STPCh. 3 - Prob. 11STPCh. 3 - Prob. 12STPCh. 3 - Prob. 13STP
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