Please read carefully and answer correctly and quickly. thank you

Yuckdonald is considering opening a chain of restaurants around Interstate-80. The possible locations are in a straight line and the distances from these locations from the start of 1-80 are in miles and is shown in increasing order mi, m2, ...,m7. The constraints are as follows: At each location, Yuckdonald may open a restaurant. The expected profit from opening a restaurant at location i is Pi where pi > 0 and i : 1, 2, ..., ...,n. Any two restaurants should be at least k miles apart where k=6. Consider the following instance of this problem such that Dist denotes the Distance from the origin. Location mo m7 mi 2 m2 5 m3 9 m4 12 m5 19 Dist 20 23 Pi 3 7 6 4 8 5 1 What is the maximum profit obtainable considering all locations my through my