A manufacturing company receives orders for vehicle audio systems from two assembly plants in Atlanta and Little Rock. Atlanta needs at least 45 audio systems and Little Rock needs at least 32 audio systems. The company can send at most 140 audio systems to these assemply plants. It costs $33 per system to ship to Atlanta and $40 per system to ship to Little Rock. Atlanta gives the manufacturing company $20 in rebates toward its products for each audio system they buy, while Little Rock gives $13 in rebates. The manufacturer estimates they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many audio systems should be shipped to each plant to minimize shipping costs. What is the minimum cost? Number of audio systems to ship to Atlanta: Number of audio systems to ship to Little Rock: Minimum cost: $
A manufacturing company receives orders for vehicle audio systems from two assembly plants in Atlanta and Little Rock. Atlanta needs at least 45 audio systems and Little Rock needs at least 32 audio systems. The company can send at most 140 audio systems to these assemply plants. It costs $33 per system to ship to Atlanta and $40 per system to ship to Little Rock. Atlanta gives the manufacturing company $20 in rebates toward its products for each audio system they buy, while Little Rock gives $13 in rebates. The manufacturer estimates they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many audio systems should be shipped to each plant to minimize shipping costs. What is the minimum cost?
Number of audio systems to ship to Atlanta:
Number of audio systems to ship to Little Rock:
Minimum cost: $
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