1 Questions A student company buys two types of guitar strings and sells them at a profit. When 8 weeks have passed, the students find that after x weeks, the number of sets of strings they have sold

1 QuestionsA student company buys two types of guitar strings and sells them at a profit. When 8 weeks have passed, the students find that after x weeks, the number of sets of strings they have sold in the last week was almost equal toS(x) = -0,3x^3 + 20x for strings of type 1 andT(x) = 0,5x^2 + 0,2x for strings of type 2

a) Calculate S(3) and T(3).

What does this answer tell us about the sale of the two types of strings?b) Digitally draw the graph of S and the graph of T in the same coordinate system when x is between 0 and 8.c) Find graphically when sales were on 38 sets of type 1.d) How many sets of strings did they sell in total in the sixth week?e) The purchase price for the strings was NOK 45 per set for type 1 and NOK 56 per set for type 2. The sale price is NOK 60 per set for type 1 and NOK 80 per set for type 2.How much did the students earn in week 6?f) The student company set up this calculation and then drew the graph of f.F(x) = - 0,3x^3 + 20x – (0,5x^2 – 0,2x)F(x) = - 0,3x^3 + 20x – 0,5x^2 + 0,2xF(x) = - 0,3x^3 – 0,5x^2 + 19,8xWhat is the calculation or graph of f shows?