A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl kes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 nours to fire. A breadbasket takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 99 hours for prep time, 60 hours for painting, and 102 hours for firing, how many of each can be made?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl
kes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4
hours to fire. A breadbasket takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 99 hours
for prep time, 60 hours for painting, and 102 hours for firing, how many of each can be made?
3x +44+ 162=99
-I (8x + 4 y +72=102)
2x + 3y + s=60
O paint
2 Firing
3 prep
3 x + 4 +162=99
(+)
(4) 3x+ 4 +162=99
-8x-Xy - 72=-102
-||X -92=-3
5x + 92=-3
-11 X=-6
ー マ
Solve the system by the substitution method.
5) x - 2y = 3
x2 - xy = 20
yニ
X+2y=3
y=-1
Zy=-X+3
* xx (-*3) =20
x= 20
(x+8) (x-S) : 0
x²+3x=40
S =x 8 - = X
x2+3x-40 =D0
x2+8x-Sx-40:0
(5,1) (-874
Solve the system by the addition method.
6) 2+ 3x2 - 17
12.x2 -1
Ax+By= C
3(y2- x2 = 1)
LI X h
(2,VE) (2, VE)(-2,55) (-2,-va
Leadsail
Transcribed Image Text:ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl kes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A breadbasket takes 4 hours to prepare, 15 hours to paint, and 7 hours to fire. If the workshop has 99 hours for prep time, 60 hours for painting, and 102 hours for firing, how many of each can be made? 3x +44+ 162=99 -I (8x + 4 y +72=102) 2x + 3y + s=60 O paint 2 Firing 3 prep 3 x + 4 +162=99 (+) (4) 3x+ 4 +162=99 -8x-Xy - 72=-102 -||X -92=-3 5x + 92=-3 -11 X=-6 ー マ Solve the system by the substitution method. 5) x - 2y = 3 x2 - xy = 20 yニ X+2y=3 y=-1 Zy=-X+3 * xx (-*3) =20 x= 20 (x+8) (x-S) : 0 x²+3x=40 S =x 8 - = X x2+3x-40 =D0 x2+8x-Sx-40:0 (5,1) (-874 Solve the system by the addition method. 6) 2+ 3x2 - 17 12.x2 -1 Ax+By= C 3(y2- x2 = 1) LI X h (2,VE) (2, VE)(-2,55) (-2,-va Leadsail
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