Kitchen cabinet assembly

Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50 cm wide?

Final Answer:

n =  7

Step-by-step explanation:

$$\begin{gathered} 80a+60b+40c=350-60-50=240cm \\ {a}_1=0b_1=0c_1=6 \\ {a}_2=0b_2=2c_2=3 \\ {a}_3=0b_3=4c_3=0 \\ {a}_4=1b_4=0c_4=4 \\ {a}_5=1b_5=2c_5=1 \\ {a}_6=2b_6=0c_6=2 \\ {a}_7=3b_7=0c_7=0 \\ n=7 \end{gathered}$$

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