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By R. H. Mole

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9500 OR ALTERNATIVELY FIXED ELEMENT = 2 0 9 . 3 0 0 0 MARG. 4300 Ν 1 0 . 0 0 C 10 2 0 . 0 0 ( )0 3 0 . 0 0 C )0 4 0 . 0 0 C )0 5 0 . 0 0 t )0 6 0 . 0 0 { Ϊ0 7 0 . 0 0 Í )0 8 0 . 0 0 ( Ϊ0 9 0 . 0 0 ( 30 1 0 0 . 2140 P I E C E L N requires the user to input the n u m b e r of Unear segments L. 1 with L = 1 does indeed r e p r o d u c e the best linear fit. 82 p e r cent. Presumably o n e would use the minimum L consistent with achieving a desired degree of fit. P I E C E L N also requires the user t o select the ordinates of the k n o t , and it may be far from obvious precisely what the best values should b e .

4, and much d e p e n d s on the detailed circumstances. T h e purpose here has been to use as simple an example as possible to demonstrate the main analytical points. 4 on the supposition of an abrupt change in manufacturing technology once 55 or m o r e units are p r o d u c e d . 7. e. maximizes the revenue less the operating costs. B o t h costs and revenue functions are assumed to be piecewise Unear functions. Piecewise Unear functions can arise quite naturally. T h e piecewise Unear production cost C in the foUowing numerical example arises from the aggregation of linear energy costs C^, and piecewise linear labour costs C^, machining costs and raw material costs C ^ .

2 0 MARG. 3 FIXED COST ? 8 MARG. 2 MARG. 1) A m e n d L I N E F I T to include a P R O C r e a d _ d a t a which reads from D A T A statements as an alternative to conversational data input in P R O C i n p u t : 50 INPUT "ENTER Y FOR CONVERSATIONAL INPUT, Ν FOR DATA READ", 6 0 IF Q$ = "Y" THEN PROCinput ELSE P R O C r e a d _ d a t a Q$ Y o u should devise P R O C r e a d _ d a t a to read N N , and then N(I) and C(I) for I = 1, 2, . . , N N from D A T A statements starting at line 9500. P R O C r e a d _ d a t a should then call P R O C d a t a _ p r i n t which should tabulate N(I) and C(I) prior to returning to the main program.

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