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Mathematics, 13.04.2021 03:30 koolja3

SoundCo makes four different models of after-market radios for commercial trucks. Each radio model includes the base radio, a wiring harness, mounting bracket and mounting hardware. For each LD-1 model that SoundCo sells they generate revenue of $229, but incur costs of $89 for the base radio, $10 for a wiring harness, $8 for a mounting bracket, and $2 for mounting hardware. For each LD-2 model that SoundCo sells they generate revenue of $249, but incur costs of $89 for the base radio, $12 for a wiring harness, $10 for a mounting bracket, and $4 for mounting hardware. For each LD-3 model that SoundCo sells they generate revenue of $259, but incur costs of $99 for the base radio, $15 for a wiring harness, $14 for a mounting bracket, and $6 for mounting hardware. For each LD-4 model that SoundCo sells they generate revenue of $279, but incur costs of $109 for the base radio, $18 for a wiring harness, $20 for a mounting bracket, and $8 for mounting hardware. SoundCo management already has orders for 800 model LD-1 radios, and 700 model LD-3 radios that must be met. Management also decided that they will produce no more than 500 model LD-2 radios, as this model has not been popular with the company's customers. SoundCo has limited production capacity, and will not produce more than 2500 total radios. How many radios of each model does SoundCo produce that maximizes profit and meets their production constraints?

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