Customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan
1 answer:
Cost of installation fee is $120.
Step-by-step explanation:
Let,
Monthly fee = x
Installation fee = y
According to given statement;
6x+y=594 Eqn 1
11x+y=989 Eqn 2
Subtracting Eqn 1 from Eqn 2
Putting x=79 in Eqn 1
Cost of installation fee is $120.
Keywords: Linear equations, subtraction
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Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
