Section 5.4 (cont.)3) The rate of change of the length of the average hospital stay between 1980 and 1996 can bemodeled by the equationwhere tis the number of yearss ttdays per year whenttdays per year whent( )....=−≤<−+≤≤0028023010004080308331016since 1980. Determine the values of the following definite integrals and interpret your answers.a) s t dt( )010∫b) s t dt( )1016∫c) s t dt( )016∫4) Many businesses spend money each year on advertising in order to stimulate sales of theirproducts. The data given in the table show the approximate increase in sales (in thousands ofdollars) that an additional $100 spent on advertising, at various levels, can be expected togenerate.a) Find a model for these data.b) Use the model in part atodetermine a model for the totalsales revenue as a function of theamount xspent on advertising.Use the fact that revenue is 500thousand dollars when $1000 isspent on advertising. c) Find the point where returnsbegin to diminish for salesrevenue.d) The managers of the businessare considering an increase in
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