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Magazine Chapter 11: Q. 58 (page 784)
58. Manufacturing Trucks Mike鈥檚 Toy Truck Company
manufactures two models of toy trucks, a standard model
and a deluxe model. Each standard model requires 2 hours
(hour) for painting and 3 hour for detail work; each deluxe
model requires 3 hour for painting and 4 hour for detail work.
Two painters and three detail workers are employed by the
company, and each works 40 hour per week.
(a) Using x to denote the number of standard-model trucks
and y to denote the number of deluxe-model trucks,
write a system of linear inequalities that describes the
possible number of each model of truck that can be
manufactured in a week.
(b) Graph the system and label the corner points.
Short Answer
(a) the inequalities
(b) graph
Step by step solution
step 1. Given information
let us consider, standard model requires 2 hours
(hour) for painting and 3 hour for detail work; each deluxe
model requires 3 hour for painting and 4 hour for detail work.
Two painters and three detail workers are employed by the
company, and each works 40 hour per week.
step 2. Inequality constrains
(a) let x be the standard model and y be the detailed model car
for two workers
for three workers
the time never be zero so
step 3. Graph with inequalities
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